Question

If a cyclist takes one minute to complete half revolution on a circular path 120 m radius what is average velocity

Answer 1

$\huge\underline{\underline{\bf \orange{Question-}}}$

If a cyclist takes one minute to complete half revolution on a circular path 120 m radius what is average velocity

$\huge\underline{\underline{\bf \orange{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Radius of circular path (R) = 120m
• Distance Travelled = half revolution

$\large\underline{\underline{\sf To\:Find:}}$

• Average Velocity

We know that ⎯

✪${\boxed{\bf \blue{Average\: Velocity=\dfrac{Displacement}{Time}} }}$

Displacement ➝ Shortest distance between initial and final position.

Here , in our Question displacement will be 2R

1 min = 60 sec

$\implies{\sf V_{av}=\dfrac{2R}{60}}$

$\implies{\sf V_{av}=\dfrac{2×120}{60} }$

$\implies{\bf \red{Average\: Velocity ( V_{av})=4\:m/s}}$

$\huge\underline{\underline{\bf \orange{Answer-}}}$

Average velocity Travelled by cyclist is ${\bf \red{4\:m/s}}$.

Answer 2

$\huge\underline\mathtt\purple{Your\:Question}$

★ If a cyclist takes one minute to complete half revolution on a circular path 120 m radius. What is average velocity?

$\huge\underline\mathtt\red{Your\:Answer}$

★ Given,

• Radius of a circular path = 120 m
• Here, distance travelled by the cyclist is equal to the half revolution.

★ To find,

• Average velocity = ?

★ Formula which we know,

• $\sf{Average\:velocity = \frac {Displacement}{Time}}$

★ Solution,

→ As we know, 1 minute = 60 seconds.

→ The displacement will be 2R

= $\rm{V_av\:=\:\frac {2R}{60}}$

= $\rm{V_av = \frac {2×120}{60}}$

= $\rm{V_av\:=\:4\:meter\:per\:second}$

$\huge\rm{\therefore The\:average\:velocity\:is\:4m/s}$

Thank You!!