Question

Zach drives his car around a circular section of a road having a radius of 50 meters at a constant speed of 20 m/s. What is the centripetal acceleration of Zach's car?

Answer 1

☯ Centripetal acceleration = 8m/s²

☯ Given :- Radius of circular section = 50m , Speed of Zach's car = 20m/s

☯ We need to find :- Centripetal acceleration of Zach's car = ?

☯ Solution :-

As we know that ,

• Centripetal acceleration = v²/r

⇒ Centripetal acceleration = 20²/50

⇒ Centripetal acceleration = 20 × 20/50

⇒ Centripetal acceleration = 20 × 2/5

⇒ Centripetal acceleration = 40/5

⇒ Centripetal Acceleration = 8m/s²

Answer 2

Answer:

Given :-

• Zara drives his car around a circular section of a road having a radius of 50 m at a constant speed of 20 m/s.

To Find :-

• What is the centripetal acceleration of Zara's car.

Formula Used :-

${\red{\boxed{\large{\bold{a =\: \dfrac{{v}^{2}}{r}}}}}}$

where,

• a = Centripetal acceleration
• v = Velocity
• r = Radius

Solution :-

Given :

• Velocity = 20 m/s
• Radius = 50 m

According to the question by using the formula we get,

⇒ $\sf a =\: \dfrac{{(20)}^{2}}{50}$

⇒ $\sf a =\: \dfrac{400}{50}$

⇒ $\sf a =\: \dfrac{40\cancel{0}}{5\cancel{0}}$

⇒ $\sf a =\: \dfrac{40}{5}$

⇒ $\sf a =\: \dfrac{\cancel{40}}{\cancel{5}}$

➠ $\sf\bold{\purple{a =\: 8\: m/{s}^{2}}}$

$\therefore$ The centripetal acceleration of Zara's car is 8 m/s² .