Question

The 500kg concrete culvert has a mean radius of 0.5m. part a if the truck has an acceleration of 3m/s2, determine the culvert's angular acceleration. assume that the culvert does not slip on the truck bed, and neglect its thickness.

Answer 1

Given:

Radius of culvert, r = 0.5 m

Tangential acceleration of the truck, a = 3 m/s2

To determine:

The angular acceleration, α

Explanation:

The tangential acceleration is related to the angular acceleration through the radius as:

a = rα

α = a/r = 3 ms⁻²/0.5 m = 6 s⁻²

Ans: The angular acceleration is 6 s⁻²