Final answer:
To find the centripetal acceleration at the outer edge of a car tire, we need to convert the car's speed to m/s, convert the tire's radius to meters, and use the formula for centripetal acceleration. In this case, the acceleration is 1636.71 m/s².
Step-by-step explanation:
The student is asking about the centripetal acceleration experienced by a piece of tire on the outer edge of a car's tire, given the car's speed and the tire's radius. To calculate this, first, we need to convert the car's speed from km/hr to m/s, which is the standard unit for such calculations in physics. The conversion factor is 1 km/hr = 0.27778 m/s. Therefore, we have:
90.9 km/hr × 0.27778 m/s per km/hr = 25.236 m/s
Now applying the formula for centripetal acceleration, ac = v2/r, where:
- v is the velocity in m/s
- r is the radius in meters
Before we can plug into the formula, we also need to convert the tire radius from cm to meters:
38.4 cm * 0.01 m/cm = 0.384 m
Now, using the formula we get:
ac = (25.236 m/s)2 / 0.384 m = 1636.71 m/s2
Therefore, the centripetal acceleration of a piece of tire on the outer edge is 1636.71 m/s2.