Question

a cyclist moving on a circular track of radius 50m completes one revolution in 4 minutes. what is his (1) Average Speed (2) Average Velocity in one full revolution

Answer 1

Hi friend below is the solution you were searching for,

Answer 2

Average speed is 1.3 m/s & Average velocity is zero.

Given:

• Radius = 50 m
• Time taken for one revolution = 4 min = 4 × 60 = 240 sec

To find:

Average speed & Average velocity?

Calculation:

Average speed is defined as the total distance divided by the total time taken.

$avg. \: s = \dfrac{distance}{time}$

$\implies avg. \: s = \dfrac{2\pi r}{t}$

$\implies avg. \: s = \dfrac{2\pi \times 50}{240}$

$\implies avg. \: s = 1.3 \: m {s}^{ - 1}$

Average velocity is defined as the total displacement divided by the total time.

• Here, since the cyclists returns back to the starting point, his displacement is zero.

$avg. \: v= \dfrac{displacement}{time}$

$\implies avg. \: v= \dfrac{0}{time}$

$\implies avg. \: v= 0$