Question

A wheel released from rest is rotating with constant angular
acceleration of 2.5 rad/s^{2}.

(a) After 2.5 s, what is its angular velocity?

rad/s

(b) Through what angle has the wheel turned?

rad

(c) How many revolutions has it made?

rev

(d) What is the speed of a point 1.0 m from the axis of
rotation?

m/s

What is the magnitude of the total acceleration of the same
point?

m/s^{2}

Answer #1

Inital angular velocity is zero.

a) Angular velocity = Angular acceleration
time

Angular velocity = 2.5 2.5 = 6.25rad/s

b) Using.

Wheel turned through 7.8126rad

c) Number of revolutions =

d) Linear speed = Angular speed radius

v = (6.25) 1 = 6.25m/s

e) Centripetal acceleration,

Tangential acceleration = Angular acceleration radius

Net acceleration,

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