Question

Let the wheel of the london eye in england be 120 m in diameter and et it rotate once every 60 minutes. Mary is riding it. On the way up, find how fast it is rising when she is 20m up following steps below: how fast means dy/dy where y represents height and t represents time.

a) find an equation of y in terms of angle theta

b) evaluate dy/d-theta

c) using the given information, evauluate d-theta/dt

d) evaluate dy/dt using two derivatives obtained in b and c

e) if the height is 20m, y = -40 according to the equation obtained in a.

calculate the theta when the height is 20m

f) evaluate how fast it is rising when she is 20m up by putting theta obtained from e to the equation of dy/dt obtained in d.

Answer 1