Question

The default unit of rotational speed is 'radians per second' or 'rad/s'. If a someone sits at the edge of a 5m radius carousel and has tangential speed of 2 m/s, what is the rotational speed in rad/s?

A. 2.5
B. 3
C. 7
D. 10

Answer 1

The rotational speed of the person is 0.4 rad/s.

Rotational speed (rad/s)

The rotational speed of the person in radian per second is calculated as follows;

v = ωr

where;

• v is linear speed in m/s
• r is radius in meters
• ω is speed in rad/s

ω = v/r

ω = 2/5

ω = 0.4 rad/s

Thus, the rotational speed of the person is 0.4 rad/s.

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