Question

A wheel accelerates from rest to 48 rad/s at a uniform rate of 57 rad/s^2. Through what angle (in radians) did the wheel turn while accelerating?

Answer 1

θ = 20.21 radians

Step-by-step explanation:

Using the expression to het the angle;

w² = wi² + 2∝θ

w is the final angular velocity

wi is the initial angular velocity

θ is the angle

∝ is the angular acceleration

Substitute the given values into the formula;

w² = wi² + 2∝θ

48² = 0² + 2(57)θ

2304 = 114θ

θ = 2304/114

θ = 20.21 radians