Question

pls help explain in detail....method please ......I will mark the one as brainliest....​

Answer 1

Question:

If a body is moving in circular path of radius 14 m. It completes one revolution in 7 s. Considering the speed to be uniform, the value of centripetal acceleration is?

Answer:

$\bigstar{\bold{Option\:1:\:\dfrac{8}{7} \pi^{2} \:m/s^{2} }}$

Explanation:

$\Large{\underline{\underline{\bf{Given:}}}}$

• Radius of the circle = 14 m
• Time taken to complete a revolution = 7 s

$\Large{\underline{\underline{\bf{To\:Find:}}}}$

• Centripetal acceleration

$\Large{\underline{\underline{\bf{Solution:}}}}$

➣ First we need to find the angular speed of the body.

➣Angular Speed  (ω)= Distance travelled/ Time

➣Speed =2 π/7

   Speed = 2π/7 rad/s

➣ Centripetal acceleration is given by the formula

$\bold{a_c=\omega^{2} r}$

➣ Substituting the datas we get,

   a = (2π/7)² × 14

   a = (4 π²/49) × 14

   a = 8/7 π² m/s²

$\boxed{\bold{a_c=\dfrac{8}{7} \pi ^{2}\:m/s^{2} }}$

$\Large{\underline{\underline{\bf{Notes:}}}}$

➛ The formula for centripetal acceleration is given by

• $a_c=\dfrac{v^{2} }{r}$

• $a_c=\omega^{2} r$

Answer 2

Answer:

yes fine and what about you