Answer :
Final answer:
To find the tangential speed of the tack on the tire, we use the formula v = rω, and convert the given values into the correct units before substitifying.
Explanation:
The subject query refers to the calculation of the tangential speed of a given point (tack) on a rotating wheel. The tangential speed can be calculated using the formula v = rω, where ω represents the angular speed in radians/second and r is the distance of the tack from the rotation axis. In this case, the wheel rotates at 3.47 revolutions per second (which we need to convert to radians per second, by multiplying by 2π), and the tack is 39.1 cm from the rotation axis (which we convert to meters for SI standard, by dividing by 100). Substituting these values into the formula, we find the tangential velocity.
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