## 3rika16 2 years ago A 50-N ⋅ m torque acts on a wheel with a moment of inertia 150 kg ⋅ m2. If the wheel starts from rest, how long will it take the wheel to make one revolution? (a) 0.33 s (b) 2.4 s (c) 10 s (d) 0.66 s (d) 6.1 s

1. Vincent-Lyon.Fr

This is basic application of kinematics concerning rotation and angular acceleration. What do you think?

2. 3rika16

im not sure of the formula to use for angular acceleration?

3. mathavraj

torque=MOMENT OF INERTIA*angular acceleration

4. Vincent-Lyon.Fr

The formulae are the same as those for linear acceleration: Substitute: Torque τ for Force F Moment of inertia I for Mass m Angular acceleration α for Linear acceleration a Then substitute: Angular velocity ω for Linear velocity v Angular displacement θ for Linear displacement s (or x)

5. GrahamW

Remember formula: \tau = I*\alpha. Solve for \alpha. Then 2*\pi = 1/2*\alpha*t^2 and solve for t.