Question

an object moves along a circular path of radius 35 find the average speed and velocity when it completes one revolution in 40 seconds
pls answer with steps...​

Answer 1

Answer:

Average speed = 5.5 m/s

Average velocity = 0 m/s

Explanation:

Let us suppose the body starts to move from A. After completing 1 revolution, it'll come back again to A.

Calculating average speed :

$\longmapsto \bf { Speed_{(avg)} = \dfrac{Total \; distance}{Total \; time} }$

Total distance will be the circumference of the circular path.

• Total time = 40s (Given)

$\longmapsto \rm { Speed_{(avg)} = \dfrac{2\pi r}{40} }$

• r(radius) = 35 m

$\longmapsto \rm { Speed_{(avg)} = \left \{ \dfrac{2 \times \cfrac{22}{7} \times 35 }{40} \right \} \; ms^{-s}}$

$\longmapsto \rm { Speed_{(avg)} = \left \{ \dfrac{2 \times 22 \times 5 }{40} \right \} \; ms^{-s} }$

$\longmapsto \rm { Speed_{(avg)} = \left \{ \dfrac{220 }{40} \right \} \; ms^{-s} }$

$\longmapsto \bf{ Speed_{(avg)} = 5.5 \; ms^{-s} }$

∴ Average speed is 5.5 m/s.

$\rule{200}2$

Calculating average velocity :

$\longmapsto \bf { Velocity_{(avg)} = \dfrac{Total \; displacement}{Total \; time} }$

• Whenever the body comes back to its initial position after covering a certain distance, its displacement is zero. So total displacement will also be 0.

$\longmapsto \rm { Velocity_{(avg)} = \dfrac{0}{40} \; ms^{-1}}$

$\longmapsto \bf{ Velocity_{(avg)} = 0 \; ms^{-1}}$

∴ Average velocity is 0 m/s.

$\rule{200}2$