A merry-go-round starts from rest and accelerates with a constant angular…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

A merry-go-round starts from rest and accelerates with a constant angular acceleration of

2.5\,\text{rad/s}^2

for

5.0\,\text{s}

. Immediately afterward, friction provides a constant angular deceleration of

0.50\,\text{rad/s}^2

(opposite the direction of rotation) until the platform comes to rest. What is the total angular displacement of the platform from start until it stops? (a)

1.3\times10^2\,\text{rad}

(b)

3.4\times10^2\,\text{rad}

(c)

1.9\times10^2\,\text{rad}

(d)

2.5\times10^2\,\text{rad}

Related theory

Rotational Kinematics
Rotational kinematics about a fixed axis

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