A disc is having an initial angular velocity of 4 rad/sec and an angular acceleration of 8 rad/per sec2. Find the angle rotated in radians by the disc in 3 sec. A. 48 rad B. 36 rad C. 12 rad D. 24 rad

Collegedunia Team

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The Correct answer is (A)

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

θ = ω_it + \(\frac{1}{2}\) αt²

Where,

θ = angular displacement of the body in time t
ω_i = initial angular velocity
α = angular acceleration

Given,

Initial angular velocity, ω_i = 4 rad/s

Angular acceleration, α = 8 rad/sec²

Time, t = 3 sec

Using the equation of rotational motion, angular displacement (θ) of the disc in time (t), is given by

θ = (4 x 3) + ( \(\frac{1}{2}\) x 8 x 3²)

⇒ θ = 12 + 36

⇒ θ = 48 rad.

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A disc is having an initial angular velocity of 4 rad/sec and an angular acceleration of 8 rad/sec2. Find the angle rotated in radians by the disc in 3 sec. A. 48 rad B. 36 rad C. 12 rad D. 24 rad

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Light of which of the following colours will have the maximum energy in a photon associated with it?

5.
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A disc is having an initial angular velocity of 4 rad/sec and an angular acceleration of 8 rad/sec2. Find the angle rotated in radians by the disc in 3 sec. A. 48 rad B. 36 rad C. 12 rad D. 24 rad

CBSE CLASS XII Related Questions

1.Assertion : Induced emf produced in a coil will be more when the magnetic flux linked with the coil is more. Reason (R): Induced emf produced is directly proportional to the magnetic flux.

3.Light of which of the following colours will have the maximum energy in a photon associated with it?

5.Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

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Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Assertion : Induced emf produced in a coil will be more when the magnetic flux linked with the coil is more. Reason (R): Induced emf produced is directly proportional to the magnetic flux.

3.
Light of which of the following colours will have the maximum energy in a photon associated with it?

5.
Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now: