Rotational Mcchanics 5. What is the tangential speed of a lug nut on a wheel of

Question

Rotational Mcchanics 5. What is the tangential speed of a lug nut on a wheel of a car if the lug nut is located r 0.282 m from the axis of rotation& the wheel is rotating at, co (a) 40.17 m's (b) 28.01 m/s (c) 2.23 m/s (d) 14.11 m/s (e) 64.31 m/s 15.92 revisec? 6. On an amusement park ride, passengers are seated in a horizontal circle of radius 8.4 m. The seats begin from rest & are uniformly accelerated for 3 see to a rotational speed of 4.2 rad/s. What is the tangential acceleration of the passengers? (a) 1.47 m/s (b) 2.94 ms(c) 0.70 m/s' (d) 11.76 m/s (e) 5.88 m/s 7· The Henttich-Zentrifugen claims a maximum of 3000 rpm for test tubes located at 70 mm from the axis-of-rotation. How many gee's does this apply to the samples? (a) 17.9 gee's (b) 1.01x10 gee's (c) 175 gee's (d) 705 gee's (e) 2.54x10 gee's

Explanation / Answer

Problem 5)

v = r x w

w = 15.92 rev/s

As 1 rev = (2 pi) radians

w = 15.92 (2 pi) rad/s

v = 0.282 x 15.92 (2 pi) = 28.15 m/s

Hence, correct answer option (b)

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