Question

a particle is moving on a circular track of radius 14m. Particle is moving with constant speed of 11m/s. Calculate average speed and average velocity of particle when particle completes one and half revolution.​

Answer 1

Given:

A particle is moving on a circular track of radius 14m. Particle is moving with constant speed of 11m/s.

To find:

• Average speed & velocity when particle completes 1½ revolution ?

Calculation:

Time taken to complete 1½ revolution = 3πr/11 = 12 sec.

When particle completes 1½ revolution, we can say:

• Distance = 2πr + πr = 3πr = 132 m

• Displacement = 2r = 28 m

So, we will say:

$\rm \: avg. \: speed = \dfrac{distance}{time}$

$\rm \implies\: avg. \: speed = \dfrac{132}{12}$

$\rm \implies\: avg. \: speed = 11 \: m {s}^{ - 1}$

Now, avg. velocity :

$\rm \: avg. \: velocity = \dfrac{displacement}{time}$

$\rm \: avg. \: velocity = \dfrac{28}{12}$

$\rm \: avg. \: velocity = 2.33 \: m {s}^{ - 1}$

Hope It Helps.