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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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.The figure shows three point charges kept at the vertices of triangle ABC. The net electric field, due to this system of charges, at the midpoint M of base BC will be:

2. If Bohr’s quantization postulate (angular momentum \( = \frac{nh}{2\pi} \)) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why, then, do we never speak of quantization of orbits of planets around the Sun? Explain.

3.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:

4.A square loop of side 0.50 m is placed in a uniform magnetic field of 0.4 T perpendicular to the plane of the loop. The loop is rotated through an angle of 60° in 0.2 s. The value of emf induced in the loop will be:

5.Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

6.Assertion (A) : The mass of a nucleus is less than the sum of the masses of the constituent nucleons. Reason (R) : Energy is absorbed when the nucleons are bound together to form a nucleus.

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Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
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2.
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Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

6.
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