Reference no: EM13807898
Q1: An amusement park ride consists of a rotating circular platform 7.84 m in diameter from which 10 kg seats are suspended at the end of 1.1 m massless chains. When the system rotates, the chains make an angle of 39.2o with the vertical.
The acceleration of gravity is 9.8 m/s2.
What is the speed of each seat?
Q2: If a child of mass 35.7 kg sits in a seat, what is the tension in the chain (for the same angle)?
Q3: An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that a person inside is stuck to the wall and does not slide down when the floor drops away.
The acceleration of gravity is 9.8 m/s2.
Given g = 9.8 m/s , the coefficient µ = 0.213 of static friction between a person and the wall, and the radius of the cylinder R =
4.6 m. For simplicity, neglect the person's depth and assume he or she is just a physical point on the wall. The person's speed is where T is the rotation period of the cylinder (the time to complete a full circle).
Find the maximum rotation period T of the cylinder which would prevent a 61 kg person from falling down.
Answer in units of s
Q4:
A small ball of mass 85 g is suspended from a string of length 60 cm and whirled in a circle lying in the horizontal plane.
If the string makes an angle of 30 with the vertical, find the centripetal force experienced by the ball. The acceleration of gravity is 9.8 m/s2.
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