The flywheel of a steam engine runs with a constant angular velocity of 150 rev/min.When steam is shut off, the friction of the bearings and of the air stops the wheel in 2.2 h. (a) What is the constant angular acceleration, in revolutions per minute-squared, of the wheel during the slowdown? (b) How many revolutions does the wheel make before stopping? (c) At the instant the flywheel is turning at 75 rev/min, what is the tangential component of the linear acceleration of a flywheel particle that is 50 cm from the axis of rotation? (d)What is the magnitude of the net linear acceleration of the particle in (c)?
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).
The flywheel of a steam engine runs with a constant
of 150 rev/min.When steam is shut off, the friction of the bearings
and of the air stops the wheel in 2.2 h. (a) What is the constant
acceleration
the slowdown? (b) How many revolutions does the wheel make before
stopping? (c) At the instant the flywheel is turning at 75 rev/min, what
is the tangential component of the linear acceleration of a flywheel particle
that is 50 cm from the axis of rotation? (d)What is the magnitude
of the net linear acceleration of the particle in (c)?
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