Section14.8Practice - Rotational Energy and Angular Momentum
SubsectionExplanation Practice
SubsectionA*R*C*S Practice
SubsectionNumerical Practice
Calculation14.8.1.Olympic High Diver.
An Olympic high diver in midair pulls her legs inward toward her chest. Doing so changes which of these quantities?
Angular momentum
Rotational inertia about her center of mass
Angular velocity
Translational (linear) momentum
Translational (linear) kinetic energy
Rotational kinetic energy
Answer.
B., C., E.
Calculation14.8.2.Helicopter I.
A typical small rescue helicopter has four blades. Each blade is \(4.0 \mathrm{~m}\) long and has a mass of \(50.0 \mathrm{~kg}\text{.}\) The blades can be approximated as thin rods that rotate about one end of an axis perpendicular to their length. The helicopter has a total loaded mass of \(1000 \mathrm{~kg}\text{.}\) Calculate the rotational kinetic energy in the blades when they rotate at \(300 \mathrm{~rpm}\text{.}\)
Answer.
\(5.26 \times 10^5 \mathrm{~J}\)
Calculation14.8.3.Helicopter II.
A typical small rescue helicopter has four blades. Each blade is \(4.00 \mathrm{~m}\) long and has a mass of \(50.0 \mathrm{~kg}\text{.}\) The blades can be approximated as thin rods that rotate about one end of an axis perpendicular to their length. The helicopter has a total loaded mass of \(1000 \mathrm{~kg}\text{.}\) What is the ratio of translational kinetic energy of the helicopter over the rotational kinetic energy of its blades when it flies at \(20.0 \mathrm{~m/s}\text{?}\)
Answer.
0.38
Calculation14.8.4.Helicopter III.
A typical small rescue helicopter has four blades. Each blade is \(4.00 \mathrm{~m}\) long and has a mass of \(50.0 \mathrm{~kg}\text{.}\) The blades can be approximated as thin rods that rotate about one end of an axis perpendicular to their length. The helicopter has a total loaded mass of \(1000 \mathrm{~kg}\text{.}\) To what height could the helicopter be raised if all of the rotational kinetic energy could be used to lift it?
Answer.
\(53.7 \mathrm{~m}\)
ReferencesReferences
[1]
Numerical practice activities provided by BoxSand: https://boxsand.physics.oregonstate.edu/welcome.