You wish to accelerate a small merry-go-round from rest to a rotational speed of

Question

You wish to accelerate a small merry-go-round from rest to a rotational speed of one-fourth of a revolution per second by pushing tangentially on it. Assume the merry-go-round is a disk with a mass of 150 kg and a radius of 2.00 m .

Part A

Ignoring friction, how hard do you have to push tangentially to accomplish this in 6.00 s ? (Use energy methods and assume a constant push on your part.) F= N SubmitMy AnswersGive Up You wish to accelerate a small merry-go-round from rest to a rotational speed of one-fourth of a revolution per second by pushing tangentially on it. Assume the merry-go-round is a disk with a mass of 150 kg and a radius of 2.00 m . You wish to accelerate a small merry-go-round from rest to a rotational speed of one-fourth of a revolution per second by pushing tangentially on it. Assume the merry-go-round is a disk with a mass of 150 kg and a radius of 2.00 m . You wish to accelerate a small merry-go-round from rest to a rotational speed of one-fourth of a revolution per second by pushing tangentially on it. Assume the merry-go-round is a disk with a mass of 150 kg and a radius of 2.00 m . You wish to accelerate a small merry-go-round from rest to a rotational speed of one-fourth of a revolution per second by pushing tangentially on it. Assume the merry-go-round is a disk with a mass of 150 kg and a radius of 2.00 m .

Part A

Ignoring friction, how hard do you have to push tangentially to accomplish this in 6.00 s ? (Use energy methods and assume a constant push on your part.) F= N SubmitMy AnswersGive Up

Part A

Ignoring friction, how hard do you have to push tangentially to accomplish this in 6.00 s ? (Use energy methods and assume a constant push on your part.) F= N SubmitMy AnswersGive Up

Part A

Ignoring friction, how hard do you have to push tangentially to accomplish this in 6.00 s ? (Use energy methods and assume a constant push on your part.) F= N SubmitMy AnswersGive Up

Part A

Ignoring friction, how hard do you have to push tangentially to accomplish this in 6.00 s ? (Use energy methods and assume a constant push on your part.) F= N SubmitMy AnswersGive Up

Part A

Ignoring friction, how hard do you have to push tangentially to accomplish this in 6.00 s ? (Use energy methods and assume a constant push on your part.) F= N SubmitMy AnswersGive Up

Part A

Ignoring friction, how hard do you have to push tangentially to accomplish this in 6.00 s ? (Use energy methods and assume a constant push on your part.) F= N SubmitMy AnswersGive Up F= N F= N SubmitMy AnswersGive Up You wish to accelerate a small merry-go-round from rest to a rotational speed of one-fourth of a revolution per second by pushing tangentially on it. Assume the merry-go-round is a disk with a mass of 150 kg and a radius of 2.00 m .

Part A

Ignoring friction, how hard do you have to push tangentially to accomplish this in 6.00 s ? (Use energy methods and assume a constant push on your part.) F= N SubmitMy AnswersGive Up

Explanation / Answer

Required speed, w = 0.25*2*3.14= 1.57 rad/s

initial speed, wo= 0 rad/s

using equation of motion

w=wo+t

=1.57/6 = 0.261 rad/s2

Rotational Inertia of the disk, I= 0.5*M*R2 = 0.5*150*22 = 300 kg-m2

Torque,T = I

T=300*0.261=78.3 N-m

also,

T= F*R

F=T/R = 78.3/2

F=39.15 N

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