Question

A fly wheel rotates about is fixed axis and slows down from 360 rpm to 180 rpm in 1 minute. Its angular retardation in is

Answer 1

Answer:

• Angular retardation of flywheel = π/10  rad/s²

Explanation:

Given:-

• Initial angular velocity of flywheel = 360 rpm
• Final angular velocity of flywheel = 180 rpm
• Time taken for change in angular velocity = 1 min = 60 sec

To find:-

• Angular acceleration (retardation) of the flywheel, a =?

Formula required:-

• Formula for angular acceleration

        a = Δω / Δt

[ where a is angular acceleration, Δω is change in angular velocity, Δt is change in time ]

Solution:-

Converting the angular velocities given in rpm into rad/sec

→ ω₁ = 360 rpm = 360 × 2π/60  rad/sec = 12π rad/sec

→ ω₂ = 180 rpm = 180 × 2π/60  rad/sec = 6π rad/sec

Calculating the angular acceleration

→ a = Δω / Δt

→ a = (12π - 6π) / (60)

→ a = -6π / 60

→ a = -π/10  rad/s²

Therefore,

• Angular retardation of the flywheel is π/10  rad/s².

Answer 2

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