Question

A point is rotating with uniform circular motion on a circle of radius r. Find ω if
r = 9 cm and v = 3 cm/sec.

Answer 1

Answer:

w = 0.333

Step-by-step explanation:

In circular motion you have:

v = wr

replacing:

3 = 9w

0.333 = w

Answer 2

The angular speed of a point with r = 9 cm and v = 3 cm/sec is 0.33 rad/s

The angular speed?

The angular speed (ω) is given by:

ω = v/r

Where v is the linear speed and r is the radius.

Given that v = 3 cm/sec = 0.03 m/s, radius = 9 cm = 0.09 m, hence:

ω = v/r = 0.03/0.09 = 0.33 rad/s

The angular speed of a point with r = 9 cm and v = 3 cm/sec is 0.33 rad/s

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