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

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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

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3.A beam of light coming from a distant source is refracted by a spherical glass ball (refractive index 1.5) of radius 15 cm. Draw the ray diagram and obtain the position of the final image formed.

4.A rectangular coil of area A is kept in a uniform magnetic field \(\vec{B}\) such that the plane of the coil makes an angle \(\alpha\) with \(\vec{B}\). The magnetic flux linked with the coil is:

5. 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.

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SUBSCRIBE TO OUR NEWS LETTER

3.
A beam of light coming from a distant source is refracted by a spherical glass ball (refractive index 1.5) of radius 15 cm. Draw the ray diagram and obtain the position of the final image formed.

4.
A rectangular coil of area A is kept in a uniform magnetic field \(\vec{B}\) such that the plane of the coil makes an angle \(\alpha\) with \(\vec{B}\). The magnetic flux linked with the coil is:

5.
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.