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Question

× . D Southwe x L Topic: Ex. 2 hat's nx MasteringxD Student xsQuiz: Prac x instructure.com/courses/453/quizzes/2015/take D | Question 5 1 pts A diver makes 2.5 revolutions on the way from a 10 m high platform to the water. Assuming zero initial vertical velocity, find the average angular velocity during the dive. Hint: you need the time of the dive O Zero 1.75 rad/s 3.0 rad/s 7.0 rad/s 11 rad/s D Question 6 1 pts A 3.0-kg object attached to a horizontal spring oscillates with amplitude A = 0.10 m and frequency f-2.4 Hz, what is the force constant of the spring?

Explanation / Answer

Height of platform = 10 m

a = g = 9.81 m/sec

time taken by diver to reach the bottom will be given by:

d = u*t + 0.5*a*t^2

u = 0 m/sec given

10 = 0*t + 0.5*9.8*t^2

t = sqrt (10*2/9.8) = 1.428 sec

Now average angular velocity is given by:

w_avg = theta/t

theta = 2.5 rev = 2.5*2*pi rad = 5*pi

w_avg = 5*pi/1.428 = 10.99 rad/sec

w_avg = 11.0 rad/sec

Correct option is E.

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