Question

A wheel released from rest is rotating with constant angular acceleration of 2.5 rad/s2. (a) After...

A wheel released from rest is rotating with constant angular acceleration of 2.5 rad/s2.

(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/s2

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Homework Answers

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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