Answer to Question #154051 in Mechanics | Relativity for M Davis

Question

Determine the mass of the chop saw blade if it has a radius of 13.97-cm and completes 1200 revolutions per minute and is held by a force of 1825 Newtons.

Answer 1

Explanations & Calculations

• The blade is in dynamic equilibrium as it rotates at a constant rotational speed.
• Therefore, all the forces & torques should be acting in a canceling manner (equal & opposite).
• As it is held by that given force, it should be supporting only the weight of the blade according to the conditions just described above.
• Therefore,

$\qquad\qquad \begin{aligned} \small F&= \small mg\\ \small 1825N&= \small m\times 9.8ms^{-2}\\ \small m&= \small \bold{186.22\,kg} \end{aligned}$