Question:
A wheel completes $2000$ revolutions to cover the $9.5\,km$ distance, then the diameter of the wheel is
A wheel completes $2000$ revolutions to cover the $9.5\,km$ distance, then the diameter of the wheel is
Updated On: Jul 6, 2022
- 1.5 km
- 1.5 m
- 7.5 cm
- 7.5 m
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The Correct Option is B
Solution and Explanation
Distance covered in n revolutions is $n.2\pi r = n .\pi D$
$\Rightarrow$ $2000\pi D =9500$
as n = 2000, distance = 9500 m
so, $D=\frac{9500}{2000 \times \pi}=1.5 m$
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Concepts Used:
Motion in a straight line
The motion in a straight line is an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion.
Types of Linear Motion:
Linear motion is also known as the Rectilinear Motion which are of two types:
- Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
- Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.