A tyre is running around a circle with a radius of 5 m and 12 m/s2 of centripetal acceleration.
Determine the speed of the tyre
To determine the speed of the tire, we can use the formula for centripetal acceleration:
a = v²/r
Where:
a is the centripetal acceleration
v is the speed of the tire
r is the radius of the circle
In this case, we have the centripetal acceleration (a) as 12 m/s² and the radius (r) as 5 m. We can rearrange the formula to solve for v:
v = sqrt(a * r)
Now, let's substitute the values into the formula and calculate the speed of the tire:
v = sqrt(12 m/s² * 5 m)
v = sqrt(60 m²/s²)
v = 7.75 m/s
Therefore, the speed of the tire is approximately 7.75 m/s.