During a NASCAR race a car goes 60 m/s around a curved section of track that has a radius of 280 m. What is the car's acceleration?

Question

During a NASCAR race a car goes 60 m/s around a curved section of track that has a radius of 280 m. What is the car's acceleration?

Answer 1

To find the car's acceleration around a curve, we use the formula for centripetal acceleration, which is:

𝑎=𝑣2/𝑟a=v2/r

Where:

a = acceleration

v = velocity

r = radius of the curve

1.Substitute the given values into the formula:

𝑎=(60𝑚/𝑠)2/280𝑚 a=(60m/s)2/280m

2.Calculate the acceleration:

𝑎=3600𝑚/𝑠2/280𝑚a=3600m/s2/280m

𝑎=12.85𝑚/𝑠2 a=12.85m/s2

The car's acceleration is 12.85𝑚/𝑠2