A wheel, released from rest, is rotating with constant angular acceleration. After 8.0 seconds, its speed...

A wheel, released from rest, is rotating with constant angular acceleration. After 8.0 seconds, its speed reaches to 12 rev/sec (a) what is its angular acceleration? (b) Through what angle has the wheel turned? (c) How many revolutions has it completed in 8.0 second?

Solutions

Expert Solution

Initial angular speed of the wheel = ₁ = 0 rad/s (At rest)

Angular speed of the wheel after 8 sec = ₂ = 12 rev/sec = 12 x (2) rad/s = 75.4 rad/s

Time period = T = 8 sec

Angular acceleration of the wheel =

= 9.425 rad/s²

Angle through which the wheel has turned =

= 301.6 rad

Number of revolutions made by the wheel = n

n = 48 rev

a) Angular acceleration of the wheel = 9.425 rad/s²

b) Angle through which the wheel has turned = 301.6 rad

c) Number of revolutions completed by the wheel in 8 sec = 48 rev

genius_generous answered 1 year ago

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