Rotational Motion

Question 1

how is torque made from f and r

Answer 1

Force F is tangential R axis creating a torque T component

Question 2

Angular velocity def + formula (form sheet)

Answer 2

angular velocity = rate at which something rotates or spins around an axis, how fast an angle changes over time

omega = dtheta / dt in rad/s

omega = angular velo
theta = angular displacement
dt = time

Question 3

circumferential displacement (formula sheet)

Answer 3

x = (theta/2pi) x (2piR) = theta x r in m

Question 4

work done along x to rotate the disc

Answer 4

W = F * x in joule

Question 5

Power supplied to do work (form sheet)

Answer 5

P = (dw / dt) = F * (dx/dt) = F * r * (dtheta/dt) in Watt (W)

Question 6

Developed torque (form sheet)

Answer 6

T = F * r = P / omega = J * alpha in Nm

J = moment of inertia in kg*m^2
a = angular acceleration in rad/s^2