A race car goes around a level, circular track with a diameter of 1km at a constant speed of 90 km/h. What is the centripital acceleration?
what is v^2/r ? Change 90 km/hr to m/s, r to 1000m
To find the centripetal acceleration of the race car, we can use the formula:
Ac = (V^2) / r
where Ac is the centripetal acceleration, V is the velocity of the race car, and r is the radius of the circular track.
In this case, we're given the diameter of the track, which is 1 km. The radius, which is half of the diameter, would be:
r = 1 km / 2 = 0.5 km
Now we need to convert the units to be consistent. Since the velocity of the race car is given in km/h, we should convert it to m/s:
90 km/h * (1000 m / 1 km) * (1 h / 3600 s) = 25 m/s (rounded to the nearest whole number)
Now we can substitute the values into the formula:
Ac = (25 m/s)^2 / 0.5 km
We need to convert the radius to meters to match the velocity units:
0.5 km * (1000 m / 1 km) = 500 m
Now we can proceed with the calculation:
Ac = (25 m/s)^2 / 500 m
Ac = 625 m^2/s^2 / 500 m
Ac = 1.25 m/s^2
Therefore, the centripetal acceleration of the race car is approximately 1.25 m/s^2.