Question Part Points Submissions Used At takeoff a commercial jet has a 50.0 m/s

Question

Question Part Points Submissions Used At takeoff a commercial jet has a 50.0 m/s speed. Its tires have a diameter of 0.400 m. (a) At how many rpm are the tires rotating? 1193.7 Incorrect: Your answer is incorrect. rpm (b) What is the centripetal acceleration at the edge of the tire? 6250 Incorrect: Your answer is incorrect. m/s2 (c) With what force must a determined 10-15 kg bacterium cling to the rim? N (d) Take the ratio of this force to the bacterium's weight. 61.3125 Incorrect: Your answer is incorrect. (force from part (c) / bacterium's weight)

Explanation / Answer

part a )

w = v/r

here r = diameter/2 = 0.400/2 = 0.200

w = 250 rad/s = 2387.32 rpm

part b )

a= v^2/r

a = 50*50/0.200 = 12,500 m/s^2

part c )

F = ma

F = 10^-15 x 12,500 = 1.25 x 10^-11 N

part d )

= ma/mg

= a/g = 12500/9.8 = 1275.51

P.S : might be you use diameter instead of radius

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