A car moves along a circular track at 60 kmph. If the radius of the track is 300 m, calculate the

acceleration towards the centre

To calculate the acceleration towards the center of the circular track, we need to use the formula for centripetal acceleration. Centripetal acceleration is the acceleration experienced by an object moving in a circular path and it is directed towards the center of the circle. The formula for centripetal acceleration is:

a = v^2 / r

where:
a = acceleration
v = velocity
r = radius

In this case, the velocity of the car is given as 60 km/hr or 60,000 m/3600 s. The radius of the track is given as 300 m. Plugging these values into the formula, we can calculate the acceleration towards the center:

a = (60,000 m/3600 s)^2 / 300 m

To simplify, let's convert the units first:

a = (16.67 m/s)^2 / 300 m

Calculating the square:

a = 277.78 m^2/s^2 / 300 m

Dividing:

a ≈ 0.926 m/s^2

Therefore, the acceleration towards the center of the circular track is approximately 0.926 m/s^2.