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A car is moving with speed 30m//sec on a...

A car is moving with speed `30m//sec` on a circular path of radius 500 m . Its speed is increasing at the rate of , `2m//sec^(2)`, What is the acceleration of the car

A

`2.5 ms^(-2)`

B

`2.7 ms^(-2)`

C

`2 ms^(-1)`

D

`4.5 ms^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Centripetal acceleration
` a_c = (v^2)/( r) = ((30)^2)/(500) = 9/5 =1.8 ms^(-2)`
Tangential acceleration, `a_t - 2 ms^(-2)`
` therefore ` Resultant acceleration,
` a = sqrt( a_(c)^(2) +a_(t)^(2)) = sqrt((1.8)^2 +2^2) = 2. 7 ms^(-2)`
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