Question:

A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 s for every circular lap. The average velocity and average speed for each circular lap respectively is

Updated On: Jul 5, 2022
  • 0 , 0
  • 0 , 10 $ms^{-1}$
  • 10 $ms^{-1}$ , 10 $ms^{-1}$
  • 10 $ms^{-1}$ , 0
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The Correct Option is B

Solution and Explanation

On a circular path in completing one turn, the distance travelled is $2\pi r$ while displacement is zero. Hence, average velocity = $\frac{displacement}{time - interval} = \frac{0}{t} = 0$ Average speed = $\frac{Distance}{Time -interval}$ = $\frac{2\pi r}{t} = \frac{2 \times 3.14 \times 100}{62.8} = 10 \,ms^{-1}$
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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