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The rotational inertia of a collapsing spinning star changes to 1/8 its initial value. What is...
The rotational inertia of a collapsing spinning star changes to 1/6 its initial value. What is the ratio of the new rotational kinetic energy to the initial rotational kinetic energy? Number Units
Chapter 11, Problem 046 The rotational inertia of a collapsing spinning star changes to 1/4 its initial value. What is the ratio of the new rotational kinetic energy to the initial rotational kinetic energy? Number Units
An ice- skater is initially spinning at an angular speed ω = 1.35 revolutions/s with a rotational inertia Ii = 2.30 kg.m2 with her arms extended. When she pulls her arms in, her rotational inertia is reduced to If=1.05 kg.m2 . Assume no external torques act. a) Determine her initial angular speed in rad/s. (1 marks) b) Calculate her final angular speed in RPM (4 marks) c) Calculate the period of rotation when she is at her final speed (1...
A wheel with rotational inertia
I=12MR2 about its central axle is set
spinning with initial angular speed ?0 and is then lowered
onto the ground so that it touches the ground with no horizontal
speed. Initially it slips, but then begins to move forward and
eventually rolls without slipping.
A fan with the moment of inertia of 4 kgm2 is spinning with an angular speed of 10 rad/s. What is its rotational kinetic energy in J
Question 11 A hollow sphere of radius 0.220 m, with rotational inertia I = 0.0728 kg-m2 about a line through its center of mass, rolls without slipping up a surface inclined at 33.7° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 36.0 J. (a) How much of this initial kinetic energy is rotational? (b) What is the speed of the center of mass of the sphere at the initial position? When the sphere has...
Chapter 11, Problem 010 A hollow sphere of radius 0.240 m, with rotational inertia 0.0388 kg.m2 about a line through its center of mass, rolls without slipping up a surface inclined at 42.1o to the horizontal. At a certain initial position, the sphere's total kinetic energy is 7.50 J. (a) How much of this initial kinetic energy is rotational? (b) What is the speed of the center of mass of the sphere at the initial position? When the sphere has...
Question 15 Flying Circus of Physics A yo-yo has a rotational inertia of 1150 g.cmand a mass of 113 g. Its axle radius is 2.48 mm, and its string is 119 cm long. Suppose that this yo-yo is thrown so that its initial speed down the string is 1.29 m/s. (a) How long does the yo-yo take to reach the end of the string? As it reaches the end of the string, what are its (b) total kinetic energy, (c)...
Question 15 Flying Circus of Physics A yo-yo has a rotational inertia of 1150 g.cm2 and a mass of 113 g. Its axle radius is 2.48 mm, and its string is 119 cm long. Suppose that this yo-yo is thrown so that its initial speed down the string is 1.29 m/s. (a) How long does the yo-yo take to reach the end of the string? As it reaches the end of the string, what are its (b) total kinetic energy,...
A figure skater is spinning on frictionless ice. Treat the figure skater as a sphere with radius R=.4m and mass M=60kg. The skater is holding onto a massless string attached to a weighted ball of m=10kg. The skater is initially spinning at an angular speed w0 of 2pi radians per second (1 rev/s) with a sting radius of r=1m. Moment of inertia for a sphere is I=(2/5)MR^2. 1.) What is the initial total rotational inertia of the skater and ball?...