Question

The blades of an aeroplane propeller are rotating at the rate of 600 revolutions per minute. Its angular velocity is:

(a)10 π rad/s
(b)20 π rad/s
(c)2 π rad/s
(d)7 π rad/s

Answer 1

The angular velocity of the aeroplane propeller is 20π rad/s.

Therefore, the correct answer is: option (b)20 π rad/s

Step-by-step explanation:

To find the angular velocity in radians per second, we need to convert the given value from revolutions per minute (rev/min) to radians per second (rad/s).

Angular velocity is defined as the change in angle per unit time.

Since there are 2π radians in one revolution, we can use the conversion factor: 1 revolution = 2π radians.

So, to convert from rev/min to rad/s, we can multiply the given value by the conversion factor:

Angular velocity = (600 rev/min) × (2π radians/1 revolution) × (1 min/60 s)

= 20π rad/s.

Therefore, the angular velocity of the aeroplane propeller is 20π rad/s.