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Units And Measurement

Question
CBSEENPH11017652

A motor car is travelling at 30 m/s on a circular road of radius 500 m. It is increasing in speed at the rate of 2 m/s2. What is it's acceleration? 

Solution

Here, 
Speed of motor car, v = 30 m/s 
Radius of circular road, r = 500 m 
Rate of increase in speed = 2 m/s 
To find: Acceleration of the motor car? 
We know that, 

straight a subscript straight r space equals space straight v squared over straight r space equals space fraction numerator 30 space cross times space 300 over denominator 500 end fraction space equals space 1.8 space straight m divided by straight s squared space

That space is comma space

straight a space equals space square root of straight a subscript straight r squared plus space straight a subscript straight T squared end root space
space space space equals space square root of left parenthesis 1.8 right parenthesis squared plus space left parenthesis 2 right parenthesis squared end root space equals space 2.7 space straight m divided by straight s squared