In an amusement park ride, children are spun in a large cylindrical chamber so that they are pressed against the wall. The floor then drops out, and hopefully the children remain attached to the wall. If the coefficient of friction between a boy and the wall is 0.17, at what angular velocity must the boy be spun in a cylinder of radius 4.23 m so that he doesn't slide down the wall?

if you already have the answer to (a), then just work out how many periods there are in 1 minute, and that's the answer to (c).

answera compound;

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft