Question

a race car completes 3 laps of a circular track with a radius of 35m in 9 secs. determine the speed of the car​

Answer 1

Answer: Centripetal acceleration  

a

c

is given by the expression

a

c

=

R

ω

2

=

v

2

R

where  

v

is linear velocity of the object,  

ω

is its angular velocity and  

R

is the radius of the circle in which object moves.

Tangential acceleration  

a

t

is given to be  

=

0.500

 

m

s

−

2

Equating the magnitudes of two and inserting value of  

R

we get

v

2

400

=

0.500

⇒

v

=

√

0.500

×

400

=

√

200

=

14.142

 

m

s

−

1

Explanation: