Torque with Kinematic Equations Video Lessons

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Problem: A heavy flywheel is accelerated (rotationally) by a motor that provides constant torque and therefore a constant angular acceleration . The flywheel is assumed to be at rest at timea) Find the time  it takes to accelerate the flywheel to  if the angular acceleration is .Express your answer in terms of and .b)Find the angle  through which the flywheel will have turned during the time it takes for it to accelerate from rest up to angular velocity.Express your answer in terms of some or all of the following: , , and .Find the angle  through which the flywheel will have turned during the time it takes for it to accelerate from rest up to angular velocity.Express your answer in terms of some or all of the following: , , and .

FREE Expert Solution

a)

Constant angular acceleration equation:

ω1 = ω0 + αt 

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Problem Details

A heavy flywheel is accelerated (rotationally) by a motor that provides constant torque and therefore a constant angular acceleration Image for A heavy flywheel is accelerated (rotationally) by a motor that provides constant torque and therefore a consta. The flywheel is assumed to be at rest at timet = 0


a) Find the time t_1 it takes to accelerate the flywheel to omega_1 if the angular acceleration is Image for A heavy flywheel is accelerated (rotationally) by a motor that provides constant torque and therefore a consta.

Express your answer in terms ofomega_1 and Image for A heavy flywheel is accelerated (rotationally) by a motor that provides constant torque and therefore a consta.


b)

Find the angle theta_1 through which the flywheel will have turned during the time it takes for it to accelerate from rest up to angular velocityomega_1.

Express your answer in terms of some or all of the following: omega_1, Image for A heavy flywheel is accelerated (rotationally) by a motor that provides constant torque and therefore a consta, and t_1.

Find the angle theta_1 through which the flywheel will have turned during the time it takes for it to accelerate from rest up to angular velocityomega_1.

Express your answer in terms of some or all of the following: omega_1, Image for A heavy flywheel is accelerated (rotationally) by a motor that provides constant torque and therefore a consta, and t_1.

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