A wheel completes 2.4 revolutions in 3 seconds. What is the angular velocity of the wheel in radians per minute? State your answer in exact form as a simplified fraction.

Question

asked Sep 7, 2021 195k views

2 Answers

Russj · Answer 1 · 2021-09-13T08:38:39+0000

Answer:

The angular velocity of the wheel in radians per minute is 96·π·rad/min

Where π = 22/7 then the angular velocity is
$301(5)/(7) \ rad/min$

Explanation:

The number of revolutions completed per 3 seconds = 2.4 revolutions

∴ The number of revolutions completed per second = 2.4/3 = 0.8 = 4/5 revolutions

The angle per revolution = 2π radians

∴ Angular velocity per second = 0.8×2×π rad/sec

The angular velocity of the wheel in radian per second = 1.6·π·rad/sec

1 minute = 60 Seconds

∴The angular velocity of the wheel in radians per minute = 96·π·rad/minute

Where π = 22/7 then the angular velocity =
$301(5)/(7) \ rad/min$ .