Question

Calculate the period in seconds of a fan motor turns at 1200rpm.​

Answer 1

Answer:

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Class 11

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>>Systems of Particles and Rotational Motion

>>Angular Velocity and its Relation with Linear Velocity

>>If motor revolving at 1200 rpm slows dow

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If motor revolving at 1200 rpm slows down uniformly 900 rpm in 2 seconds. Calculate the angle axis rotation of the motor and the number of revolution it makes during this time.

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Solution

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The angular velocities are given as,

ω

1

=1200rpm

ω

1

=40πrad/s

ω

2

=900rpm

ω

2

=30πrad/s

The angular acceleration is given as,

α=

2

40π−30π

α=5πrad/s

2

The angle is given as,

θ=ω

1

t+

2

1

αt

2

θ=40π×2+

2

1

×5π(2)

2

θ=90πrad

The numbers of revolutions are given as,

n=

2π

90π

n=45rev