Question

a car is moving along a circular road at a speed of 20 metres per second the radius of the circular road is 10 metre if the speed is increased at the rate of 30 metre per second square what is the result acceleration​

Answer 1

Answer:

a = 50 m/sec2

Explanation:

a = 50 m/sec2

Answer 2

Given that,

Speed of car, v = 20 m/s

Radius of car, r = 10 m

To find,

The acceleration of the car if the speed is increased at the rate of 30 metre per second square.

Solution,

The centripetal acceleration by an object is given by :

$a=\dfrac{v^2}{r}$

r is radius

When v = 20 m/s

$a=\dfrac{(20)^2}{10}\\\\a=40\ m/s^2$

The acceleration is increasing at the rate of 30 m/s². The resultant acceleration is given by:

$a=\sqrt{30^2+40^2} \\\\a=50\ m/s^2$

When the speed is increased at the rate of 30 metre per second square, its acceleration is $50\ m/s^2$.

Learn more,

Centripetal acceleration

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