A fan initially rotating at 60 rad/sec clockwise accelerates and acquires an angular velocity of 110 rad/sec clockwise. If the angular acceleration of the fan is constant and it takes 2 sec to change its angular velocity, find the angular acceleration of the fan. A. 50 rad/sec2 in counterclockwise direction B. 25 rad/sec2 in counterclockwise direction C. 25 rad/sec2 in clockwise direction D. 50 rad/sec2 in clockwise direction

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The correct option is (C)

The equation of rotational motion for constant angular acceleration is given by

ω_f = ω_i + αt

⇒ α = \(\frac{\omega_f - \omega_i}{t}\)

Where,

ω_f = final angular velocity
ω_i = initial angular velocity
α = angular acceleration
t = time taken to reach final angular velocity from initial angular velocity.

Taking the clockwise direction as -ve and counterclockwise as +ve.

Given,

Initial angular velocity of the fan, ω_i = – 60 rad/s

final angular velocity of the fan, ω_f = – 110 rad/s

Time taken, t = 2 sec

Using the equation of rotational motion, angular acceleration (α) of the fan, is given by

α = \(\frac{(-110)-(-60)}{2}\) = – \(\frac{50}{2}\)

⇒ α = – 25 rad/sec²

Negative sign shows that the angular acceleration of the fan is in the clockwise direction.

Hence, the angular acceleration of the fan is 25 rad/sec² in clockwise direction.

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A fan initially rotating at 60 rad/sec clockwise accelerates and acquires an angular velocity of 110 rad/sec clockwise. If the angular acceleration of the fan is constant and it takes 2 sec to change its angular velocity, find the angular acceleration.

CBSE CLASS XII Related Questions

1.Assertion (A): The deflection in a galvanometer is directly proportional to the current passing through it. Reason (R): The coil of a galvanometer is suspended in a uniform radial magnetic field.

3.A square loop MNPK of side \( l \) carrying a current \( I_2 \) is kept close to a long straight wire in the same plane and the wire carries a steady current \( I_1 \) as shown in the figure. Obtain the magnitude of magnetic force exerted by the wire on the loop.

4. Two wires of the same material and the same radius have their lengths in the ratio 2:3. They are connected in parallel to a battery which supplies a current of 15 A. Find the current through the wires.

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

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3.
A square loop MNPK of side \( l \) carrying a current \( I_2 \) is kept close to a long straight wire in the same plane and the wire carries a steady current \( I_1 \) as shown in the figure. Obtain the magnitude of magnetic force exerted by the wire on the loop.

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