Question

A race car goes around a level, circular track with a diameter of 1.00 km at a constant speed of 76 km/h. What is the car's centripetal acceleration in m/s2?

m/s2

Answer 1

0.89 m/s^2

Step-by-step explanation:

Here we are given that,

• diameter= 1km
• speed = 76 km/h
• acceleration= ?

As we know that in case of uniform circular motion , centripetal acceleration is given by,

`\implies a_c =(v^2)/(r) \\`

And here ,

`\implies v = 76km/h =(5)/(18)* 76\ m/s \\`

`\implies v = 21.1 \ m/s \\`

Also ,

`\implies r =(d)/(2) \\`

`\implies r = 0.5km =\boxed{500m} \\`

Now substitute the respective values,

`\implies a_c = (21.1* 21.1 )/(500) m/s^2 \\`

`\implies\underline{\underline{ a_c = 0.89\ m/s^2}} \\`

and we are done!