Question

An object of mass m 214 g hangs by a light string wrapped around a light inner pulley (hub) having radius R, - 18.7 em. This inner pulley is the hub of a circular wheel having radius R2 = 24.9 cm and mass Mwheel 768 g. Assume the entire wheel assembly rotates without friction and that the inner polley has negligible mass. What is the tangential speed of a point on the rim of the inner pulley at time t = 3.0 s? K R₂ → Angular Velocity (rad/s) 0.5 1 2.5 3 3. 1.5 2 Time (8) Curve A Curve B Angular Acceleration (rad/s) m = 214 g Curve C 2.5 3 35 1.5 2 Time (s)

Answer 1

Tangential speed

$angular \ \ speed \times radius$

At t = 3 s angular speed is 100 rad/s.

radius of inner pully R1 = 18.7 cm = 0.187 m

$v= r\omega$

$v= 0.187 m \times 100 \ \ rad/s$

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