Equations of Rotational Motion Video Lessons

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Problem: The tires of a car make 77 revolutions as the car reduces its speed uniformly from 92.0 km/h to 60.0 km/h. The tires have a diameter of 0.84 m.1. What was the angular acceleration of the tires?2. If the car continues to decelerate at this rate, how much more time is required for it to stop?3. If the car continues to decelerate at this rate, how far does it go? Find the total distance.

FREE Expert Solution

Reading through the questions, we come across angular acceleration and distance covered. We, therefore, know that this is a rotational kinematics problem. 

Rotational kinematic equations:

ωf=ω0 + αtθ=12(ω0+ωf)tθ=ω0t +12αt2ωf2=ω02+2αθ

Δθ is the angle of rotation. The angle of rotation is not given, but we can determine it from the number of revolutions.

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Problem Details

The tires of a car make 77 revolutions as the car reduces its speed uniformly from 92.0 km/h to 60.0 km/h. The tires have a diameter of 0.84 m.

1. What was the angular acceleration of the tires?

2. If the car continues to decelerate at this rate, how much more time is required for it to stop?

3. If the car continues to decelerate at this rate, how far does it go? Find the total distance.

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Equations of Rotational Motion concept. You can view video lessons to learn Equations of Rotational Motion. Or if you need more Equations of Rotational Motion practice, you can also practice Equations of Rotational Motion practice problems.

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Based on our data, we think this problem is relevant for Professor Uppu's class at IOWA.