Question:
An athlete completes one round of a circular track of radius $10\, m$ in $40 \,s$. The distance covered by him in $2$ minutes $20$ seconds is
An athlete completes one round of a circular track of radius $10\, m$ in $40 \,s$. The distance covered by him in $2$ minutes $20$ seconds is
Updated On: Jul 6, 2022
- 400 m
- 220 m
- 132 m
- 66 m
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The Correct Option is B
Solution and Explanation
$\upsilon = \frac{2\pi r}{t}$
$= 2 \times \frac{22}{7} \times \frac{10}{40}$
$ = \frac{11}{7} m \, s^{-1}$
Distance, $S = \upsilon \, t$
$ = \frac{11}{7} \times 140$
$ = 220 \, 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.