PoojaMoolya: Created page with "{|border=1 |- || '''Time''' || '''Narration''' |- || 00:01 || Welcome to this tutorial on '''Circular Motion.''' |- ||00:06 || In this tutorial we will, Change the position,..."

2020-09-15T05:14:16Z

Created page with "{|border=1 |- || '''Time''' || '''Narration''' |- || 00:01 || Welcome to this tutorial on '''Circular Motion.''' |- ||00:06 || In this tutorial we will, Change the position,..."

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{|border=1
|-
|| '''Time'''
|| '''Narration'''
|-
|| 00:01
|| Welcome to this tutorial on '''Circular Motion.'''

|-
||00:06
|| In this tutorial we will,

Change the position, velocity, acceleration and force with time.

|-
||00:16
|| Calculate angular velocity and angular acceleration.

|-
||00:20
|| Calculate centripetal force.

|-
||00:24
|| Here I am using,

'''Ubuntu Linux''' OS version 16.04

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||00:31
|| '''Firefox Web Browser''' version 62.0.3

|-
||00:37
|| To follow this tutorial learners should be familiar with '''Apps on Physics'''.

|-
||00:43
|| For the pre-requisite tutorials please visit this site.

|-
|| 00:48
|| Let us first define uniform circular motion.

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||00:52
|| It is a motion of an object on a circular path with a constant speed.

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||00:58
|| For example: Moon, revolves around the earth in uniform circular motion.

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||01:05
|| Use the given link to download the '''Apps'''.

|-
|| 01:09
|| I have already downloaded the '''Apps on Physics''' to my '''Downloads''' folder.

|-
||01:16
||In this tutorial we will use,

'''Uniform Circular Motion''' and '''Model of a Carousel Apps.'''

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||01:25
|| Right-click on '''circularmotion_en.htm''' file.

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||01:31
|| Select the option '''Open With Firefox Web Browser'''.

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||01:36
|| '''Uniform Circular Motion app''' opens in the '''browser'''.

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|| 01:41
|| The interface shows a white coloured point on a circular path.

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||01:47
|| This white coloured point behaves as an object on a circular path.

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|| 01:53
|| Scroll down to see the complete interface.

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|| 01:57
|| Next to the circular path, we see a graph.

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||02:01
|| This graph shows the change in position of the object with time.

|-
|| 02:07
|| Click on the '''Start''' button.

|-
|| 02:10
|| Click on the '''Slow motion''' check-box to see the motion steadily.

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|| 02:15
|| The bold red vector shows the instantaneous position of the point.

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||02:21
|| The other two red vectors show the position of the point along the '''x''' and '''y''' axes.

|-
|| 02:28
|| Uncheck the '''Slow motion''' check-box.

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|| 02:31
|| Click on the '''Reset''' button to reset the '''App'''.
|-
|| 02:35
|| The initial position of the white point is 2 '''metre''' on '''x'''-axis and 0 '''metre''' on '''y'''-axis.

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|| 02:43
|| This is because the white point is on the circle that has a radius of 2 '''metre'''.

And it is pointing in the positive x-axis.

|-
|| 02:54
|| Click on the '''Velocity''' radio button.

|-
|| 02:57
|| Observe that the direction of the velocity vector is tangential to the circular path.

|-
|| 03:04
|| Click on the '''Start''' button and observe the change in direction of velocity.

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|| 03:10
|| Notice that the magnitude of the velocity is same but its direction changes continuously.

|-
|| 03:17
|| Observe that the representation on the y-axis has changed to velocity.

|-
|| 03:23
|| In the graph y-axis has changed from x, y to Vx , Vy.

|-
|| 03:30
|| Click on the '''Reset''' button.

|-
|| 03:33
|| Above the linear velocity the '''App''' has shown '''Angular velocity''', denoted by '''omega'''.

The value of '''omega''' is 1.26 '''radians per second'''.

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|| 03:45
|| Click on the '''Start''' button.

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|| 03:48
|| Select '''Slow motion''' check-box.

|-
|| 03:51
|| Here the bold pink vector shows the magnitude and direction of velocity.

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|| 03:57
|| The other two vectors show the magnitude and direction on the '''x''' and '''y''' coordinates.

|-
|| 04:04
|| Uncheck the '''Slow motion''' check box.

|-
||04:07
|| We can calculate angular velocity using the formula.

'''ω=v/r''' where '''ω '''is angular velocity , '''v '''is linear velocity and '''r '''is radius of the circle

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|| 04:24
|| Click on the '''Reset''' button.

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||04:27
|| Change the '''Radius''' to 5 '''metre,'''

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||04:30
|| '''Period''' to 10 '''seconds''' and '''Mass''' of the object to 10 '''kg'''.

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||04:35
|| Press '''Enter''' after changing every value.

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|| 04:39
|| I have already calculated the value of angular velocity.

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|| 04:44
|| The value of angular velocity is 0.628 '''rad/s (radians per second)'''.

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|| 04:51
|| The calculated value is same as the value shown in the '''App'''.

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|| 04:56
|| Click on the '''Acceleration''' radio button.

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|| 04:59
|| Here the blue vector shows the direction of acceleration.

This acceleration is centripetal acceleration.

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|| 05:08
|| The magnitude of acceleration is 1.97 '''metre per second square'''.

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|| 05:15
|| The direction of acceleration is towards the center of the circle.

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|| 05:20
|| This is the formula to calculate centripetal acceleration.

Click on '''Velocity''' radio button.

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|| 05:28
|| Substitute the values of angular velocity and radius into the formula.

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|| 05:34
|| Again click on '''Acceleration''' radio button.

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||05:38
|| Here is the calculated value of centripetal acceleration.

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||05:43
|| Observe that the calculated value is same as the one shown in the '''App'''.

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||05:49
|| Click on the '''Force''' radio button.

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|| 05:52
|| Note that the direction of '''Force''' vector is same as that of the '''Acceleration''' vector.

|-
|| 05:59
|| Recall from '''Newton's''' second law that force and acceleration are directly related to each other.

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||06:06
||Click on the '''Start''' button.

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|| 06:09
|| Force acting on a circular field is a centripetal force.

|-
|| 06:14
|| This force is always directed towards the center.

|-
||06:18
||Click on the '''Reset''' button.

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||06:21
|| Let us solve a numerical to find centripetal acceleration.

|-
||06:26
|| Please pause the video and read the numerical.

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|| 06:30
|| Then change the parameters according to the numerical.

|-
|| 06:34
|| Details about all calculations are shown in the '''Additional material'''.

|-
|| 06:40
|| For now I will calculate centripetal acceleration using the formula.

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|| 06:46
|| Click on '''Velocity''' radio button.

|-
|| 06:49
|| Let us substitute the values of angular velocity and radius into the formula.

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|| 06:55
|| The calculated value of centripetal acceleration is 3.15 '''metre per second square'''.

|-
|| 07:02
|| Click on the '''Acceleration''' radio button to compare the value.

|-
|| 07:07
|| Observe that the values are comparable.

|-
|| 07:12
|| As an assignment solve the following numericals by changing the parameters.

|-
|| 07:19
|| Let us move on to '''Carousel App'''.

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|| 07:22
|| To open the '''App''' right-click on '''carousel_en.htm''' file and '''Open With Firefox Web Browser'''.

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|| 07:32
|| '''Model of a Carousel App''' opens in the '''browser'''.

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|| 07:36
|| Below the name a short description about the interface is given.

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|| 07:42
|| Let us scroll down to see the interface.

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|| 07:46
|| This '''App''' shows the application of centripetal force.

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|| 07:51
|| Notice that eight pendulums are attached to the '''carousel'''.

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|| 07:56
|| Here we have four radio buttons.

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|| 08:00
|| By default '''Carousel '''is selected.

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|| 08:04
|| In the green panel we can change the values of the text-fields.

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|| 08:10
|| Let us change the '''Period''' to 2 seconds and press '''Enter'''.

|-
|| 08:15
|| Notice that the speed of the '''carousel''' has increased.

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|| 08:20
|| Due to increase in speed radius of the axis of rotation increases.

|-
|| 08:26
|| The pendulums move away from the center.

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|| 08:30
|| Click on the '''Numerical values''' radio button.

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|| 08:34
|| Here we can see different parameters that '''App''' has calculated.

|-
|| 08:39
|| The value of '''Velocity''' is 5.21 '''metre per second'''.

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|| 08:45
|| Note the values of '''Frequency''', '''Angular velocity''', and '''Centripetal force'''.

|-
||08:53
|| Let us increase the '''Period''' to 5 seconds.

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|| 08:57
|| As we increase the '''Period''', '''Frequency''', '''Angular velocity ''' and '''Centripetal force''' have decreased.

|-
|| 09:06
|| Click on the '''Carousel''' radio button.

|-
||09:09
|| Observe that the '''carousel''' speed has slowed down.

|-
|| 09:14
|| Let’s change '''Distance between suspensions and axis of rotation''' to 1 '''metre'''.

|-
|| 09:20
|| '''Distance between suspensions and axis of rotation''' can be changed from 0 to 1 '''metre'''.

|-
|| 09:27
|| Observe that the size of the '''carousel''' has increased.

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|| 09:31
|| Let’s decrease '''Distance between suspensions and axis of rotation''' to 0.3 '''metre'''.

|-
|| 09:38
|| Note the decrease in the size of the '''carousel'''.

|-
|| 09:42
|| Change the '''Length of the string''' to 0.5 '''metre''' and observe the changes on the '''carousel'''.

|-
|| 09:49
|| Note that we can vary the '''Length of the string''' between 0 to 1 metre.

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|| 09:56
|| Similarly we can vary the '''Mass''' between 0.1 to 10 '''kg'''.

|-
|| 10:03
|| Click on '''F5''' key on the keyboard to '''Reset''' the '''App'''.

|-
|| 10:08
|| Click on the '''Carousel with forces''' radio button.

|-
|| 10:12
|| Here it shows three force vectors.

|-
|| 10:16
|| Let us change '''Period''' to 2 '''seconds''' to see the vectors clearly.

|-
|| 10:22
|| Click on the '''Pause''' button.

|-
|| 10:25
|| Black vector shows the force due to the weight.

|-
|| 10:29
|| Blue vector shows the force exerted by the string

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|| 10:34
|| And red vector is the net force pointing inward.

|-
|| 10:39
|| To get a clear view of the vectors let us select '''Sketch''' radio button.

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||10:45
|| Here we can see a 2D view of the force vectors.

|-
|| 10:50
|| Click on '''Carousel''' radio button.

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|| 10:53
|| Click on the '''Resume''' button.

|-
|| 10:56
|| Let us solve a numerical by varying the parameters in the '''App'''.

Please pause the video and read the numerical.
|-
|| 11:05
|| Now, Let us change the values according to the numerical.

|-
|| 11:11
|| To calculate the centripetal force we can use the formula :

'''Fc<nowiki>= mv</nowiki>2/r'''

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|| 11:20
|| Click on the '''Numerical values''' radio button.

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|| 11:24
|| From here we will take the values of radius and velocity.

|-
|| 11:29
|| Now calculate the value of centripetal force.

|-
|| 11:33
|| Substitute the values into the formula.

We get the value of centripetal force as 4.85 '''Newton'''.

|-
|| 11:44
|| Observe that the values are comparable.

|-
|| 11:48
|| As an assignment solve the given numerical.

|-
|| 11:53
|| Let us summarise

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|| 11:55
|| Using these '''Apps''' we have,

Changed the position, velocity, acceleration and force with time.

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|| 12:03
|| Calculated angular velocity and angular acceleration.

Calculated centripetal force.

|-
|| 12:12
|| These '''Apps''' were created by '''Walter-fendt''' and his team.

|-
|| 12:17
|| The video at the following link summarizes the Spoken Tutorial project.

Please download and watch it.

|-
|| 12:25
|| The '''Spoken Tutorial Project '''team, conducts workshops and gives certificates.

For more information, please write to us.

|-
|| 12:35
|| Please post your timed queries on this forum.
|-
||12:39
|| Spoken Tutorial Project is funded by MHRD Government of India.

|-
|| 12:45
|| This is Himanshi Karwanje from IIT-Bombay.

Thank you for joining.
|-
|}

Apps-On-Physics/C2/Circular-motion/English-timed - Revision history

PoojaMoolya: Created page with "{|border=1 |- || '''Time''' || '''Narration''' |- || 00:01 || Welcome to this tutorial on '''Circular Motion.''' |- ||00:06 || In this tutorial we will, Change the position,..."