A person of mass 79 kg stands at the center of a rotating merry-go-round platform of radius 2.8 m and moment of inertia 890 kg⋅m2. The platform rotates without friction with angular velocity 0.95 rad/s. The person walks radially to the edge of the platform. Calculate the angular velocity when the person reaches the edge then calculate the rotational kinetic energy of the system of platform plus person before and after the person's walk. Express your answers using three significant figures. For the second half, use two significant figures and enter your answers numerically separated by a comma.

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A person of mass 79 kg stands at the center of a rotating merry-go-round platform of radius 2.8 m and moment of inertia 890 kg⋅m2. The platform rotates without friction with angular velocity 0.95 rad/s. The person walks radially to the edge of the platform.

Calculate the angular velocity when the person reaches the edge then calculate the rotational kinetic energy of the system of platform plus person before and after the person's walk.

Express your answers using three significant figures. For the second half, use two significant figures and enter your answers numerically separated by a comma.

Expert Solution
Step 1

Solution:

 

Given Values,

mass (m)=79 kg

radius(r)= 2.8 m

moment of inertia(I)= 890 kg⋅m2 

angular velocityω1= 0.95 rad/s

 

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