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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Comments

dOGVmW

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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4.In a region, the electric potential varies as \(V = 10 - 50x\), where \(V\) is in volts and \(x\) is in meters. The electric field in the region is

5.Two point charges -Q and Q are located at points (d, 0) and (0, d) respectively, in x-y plane. The electric field E at the origin will be:

6.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 $60^\circ$ in 0.2 s. The value of emf induced in the loop will be:

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