Question

A body travels along a circular path of radius 14 m. If it completes one rotation in 4 sec then find speed and velocity of a body?​

Answer 1

Given:

A body travels along a circular path of radius 14 m and completes one rotation in 4 sec .

To find:

• Speed and velocity ?

Calculation:

• Speed is calculated as distance divided by time.

• Let speed be v :

$v = \dfrac{2\pi r}{time}$

$\implies \: v = \dfrac{2 \times \pi \times 14}{4}$

$\implies \: v = \dfrac{2 \times \dfrac{22}{7} \times 14}{4}$

$\implies \: v = \dfrac{88}{4}$

$\implies \: v =22 \: m {s}^{ - 1}$

Now, velocity is displacement divided by time.

• In this case, displacement will be zero because the body returned back to its starting point.

So, velocity is 0 m/s.

Answer 2

Given:

A body travels along a circular path of radius 14 m and completes one rotation in 4 sec .

To find:

Speed and velocity ?

Calculation:

• Speed is calculated as distance divided by time.
• Let speed be v :

$v = \frac{2\pi \: r}{time}$

$= > v = \frac{2 \times \pi \times 14}{4}$

$= > v = \frac{2 \times \frac{22}{7} \times 14}{4}$

$= > v = \frac{88}{4}$

$= > v = 22ms {}^{ - 1}$

Now, velocity is displacement divided by time.

• In this case, displacement will be zero because the body returned back to its starting point.

So, velocity is 0 m/s.

Thank you:)