Suppose a wheel with a tire mounted on it is rotating at the constant rate of 2.55 times a second. A tack is stuck in the tire at a distance of 0.357 m from the rotation axis. Noting that for every rotation the tack travels one circumference, find the tack's tangential speed. tangential speed: m / s What is the tack's centripetal acceleration

Explanation:

Given:

Time for 1 rev = 1/2.55

= 0.392s

To rad/s,

= 2π/0.392

w = 16.03 rad/s

v = wr

= 16.03 * 0.357

= 5.72 m/s

B.

a = v²/r

= 5.72²/0.357

= 91.72 m/s²

the working equation for the angular size is the product of the physical size and 360 degrees divided by the product of two pi and distance from earth. the minimum size would be 0.559 degrees while the maximum size would be 0.49 degrees.