Angular Kinetics Equations

Question 1

Torque

Answer 1

• The rotary effect of a force about an axis of rotation

- T = Fd

Question 2

Mechanical Advantage

Answer 2

• Ratio of force arm to resistance arm for a given lever

- MA = Force Moment Arm/Resistance Moment Arm

Question 3

Moment of Inertia

Answer 3

• I = mk^2

- Moment of Inertia = (mass)(radius of gyration)

Question 4

Angular Momentum

Answer 4

• H = Iω

- Angular Momentum = (Moment of Inertia)(angular velocity)

Question 5

Angular Impulse

Answer 5

• Tt = ΔH
• Tt = (mk^2ω)2 - (mk^2ω)1
• Angular Impulse = change in angular momentum

Question 6

Newton’s Second Law (rotary version)

Answer 6

• T = Iα

- Torque = (moment of inertia)(angular acceleration)

Question 7

Centripetal Force

Answer 7

• F(c) = mv^2/r = mrω^2