17. An engineer rides the ride in the problem above and decides the acceleration

Question

17. An engineer rides the ride in the problem above and decides the acceleration needs to be reduced 18. A ball whirls around on the end of a string, moving in a circle at a constant speed of 3.0 m/s. If it 19. If the string in the previous problem is replaced by a string 1.75 m long but the acceleration 20. Healthy adult humans have been shown to be able to detect accelerations as low as 10 mm/s2 (yes to 1.9 g's, but the speed should remain the same. What length of pole should be used? experiences an acceleration of 3 m/s2, how long (in m) is the string? remains unchanged, what is the ball's new speed (in m/s)? that's mm, not m). Given an airplane in flight at a cruising speed of 250 m/s, what is minimum turning radius (in km) that will go unnoticed by the passengers?

Explanation / Answer

Only one question can be posted as per chegg guidelines and for question 17 ,question 16 was needed.

18.

Centriperal acceleration is given

a=V2/r

=>r=V2/a =32/3

r=3 m (which is the length of the string)

19.

Ball's new speed

V=sqrt[ar] =[3*1.75]

V=2.29 m/s =2.3 m/s (approx)

20.

From centripetal acceleration

a=V2/r

=>rmin =V2/a =250/(10*10-3)

rmin=25000 m=25 km

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