Question:
A wheel rotates with constant acceleration of $2.0$ radian / $\sec ^{2}$. If the wheel starts from rest the number of revolution it makes in the first ten second, will be approximately:
A wheel rotates with constant acceleration of $2.0$ radian / $\sec ^{2}$. If the wheel starts from rest the number of revolution it makes in the first ten second, will be approximately:
Updated On: Jun 7, 2022
- 32
- 24
- 16
- 8
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The Correct Option is C
Solution and Explanation
$\theta=\frac{\alpha t^{2}}{2}=\frac{2 \times 100}{2}=100$
$n=\frac{\theta}{2 \pi}=\frac{100}{2 \times 3.14} $
$=15.92 \approx 16$
$n=\frac{\theta}{2 \pi}=\frac{100}{2 \times 3.14} $
$=15.92 \approx 16$
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Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration