A Ferris wheel turns at a constant 170.0 revolutions per hour. (a) Express this rate of rotation in units of radians per second. (b) If the wheel has a radius of 11.0 m, what arc length does a passenger trace out during a ride lasting 5.05 min? (c) If the wheel then slows to rest in 9.66 s while making a quarter turn, calculate the magnitude of its average angular speed during that time.
Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
A Ferris wheel turns at a constant 170.0 revolutions per hour.
(a) Express this rate of rotation in units of radians per second.
(b) If the wheel has a radius of 11.0 m, what arc length does a passenger trace out during a ride lasting 5.05 min?
(c) If the wheel then slows to rest in 9.66 s while making a quarter turn, calculate the magnitude of its average angular speed during that time.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
