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Question 12 of 15 Incorrect Map Sapling Learning macmillan learning A wheel with

ID: 1579964 • Letter: Q

Question

Question 12 of 15 Incorrect Map Sapling Learning macmillan learning A wheel with a tire mounted on it rotates at the constant rate of 2.41 times a second. A tack is stuck in the tire at distance 32.9 cm from the rotation axis. Noting that for every rotation the tack travels one circumference, find the tack's tangential speed Number 23.93 m/s What is the tack's radial acceleration? Number 53.52 m/ s There is a hint available! View the hint by clicking on the bottom divider bar. Click on the divider bar again to hide the hint. Close Previous Give Up & View Solution O Check Answer Next Exit Hint

Explanation / Answer

1) Time for 1 rev = 1 / 2.41s = 0.4149s
vel = d/t = 2r/t = 2 x 0.329m / 0.4149s .. .. v = 4.98m/s

2) cent. accel. = v²/r = 4.98² / 0.329 .. .. a = 75.38m/s²

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