A centrifugal governor consists of a central rotating shaft that has two thin, pin-connected rods attached to it; a heavy sphere caps the end of each rod. (Figure 1) A centrifugal governor mechanically limits an engine's speed. A part of the engine turns the centrifugal governor, and if the speed exceeds a set amount, the height of the spheres decreases the driving force of the engine by reducing the fuel flow. The two rods move freely about the pin. If the whole apparatus is rotating about the central shaft and the spheres have a tangential velocity, v, the thin rods will create an angle, 0, between each rod and the central shaft. Develop an equation for the tangential velocity, v, in terms of some or all of the following: 0, the angle between the thin rods and the central shaft; I, the length from the pin to each sphere's center; m, each sphere's mass; and g, the acceleration due to gravity. Neglect the mass of the thin rods. Express your answer in terms of some or all of the variables 0, 1, m, and g. ► View Available Hint(s) V= lg(sine)2 cose Previous Answers

A centrifugal governor consists of a central rotating shaft that has two thin, pin-connected rods attached to it; a heavy sphere caps the end of each rod. (Figure 1) A centrifugal governor mechanically limits an engine's speed. A part of the engine turns the centrifugal governor, and if the speed exceeds a set amount, the height of the spheres decreases the driving force of the engine by reducing the fuel flow. The two rods move freely about the pin. If the whole apparatus is rotating about the central shaft and the spheres have a tangential velocity, v, the thin rods will create an angle, 0, between each rod and the central shaft. Develop an equation for the tangential velocity, v, in terms of some or all of the following: 0, the angle between the thin rods and the central shaft; I, the length from the pin to each sphere's center; m, each sphere's mass; and g, the acceleration due to gravity. Neglect the mass of the thin rods. Express your answer in terms of some or all of the variables 0, 1, m, and g. ► View Available Hint(s) V= lg(sine)2 cose Previous Answers

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.

Equilibrium of Forces

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Question

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Submit
lg(sine)2
cose
Part B.
Previous Answers
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A centrifugal governor consists of a central rotating shaft that has two thin, pin-connected rods attached to it; a heavy sphere caps the
end of each rod. (Figure 1) A centrifugal governor mechanically limits an engine's speed. A part of the engine turns the centrifugal
governor, and if the speed exceeds a set amount, the height of the spheres decreases the driving force of the engine by reducing the fuel
flow. The two rods move freely about the pin. If the whole apparatus is rotating about the central shaft and the spheres have a tangential
velocity, v, the thin rods will create an angle, 0, between each rod and the central shaft. Develop an equation for the tangential velocity,
v, in terms of some or all of the following: 0, the angle between the thin rods and the central shaft; I, the length from the pin to each
sphere's center; m, each sphere's mass; and g, the acceleration due to gravity. Neglect the mass of the thin rods.
Express your answer in terms of some or all of the variables 0, 1, m, and g.
► View Available Hint(s)
h
Your c +
{"
1 of 6
✓ Correct
Note that when 0 = 0, v = 0, as you would have expected. Your result also implies that a shorter rod will require a lower
velocity to produce a given angle.
Review
1:46 PM
11/8/2022

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Part B
H₁ =
For the same centrifugal governor introduced in Part A, assume that each sphere's center is located at a distance 1 = 17.0 cm from the
pin and the mass of each sphere is m = 710 g. If the angle between each thin rod and the central shaft is = 20.0° when the
apparatus is rotating, what is H₁, the angular momentum of the two spheres? Neglect the mass of the thin rods.
Express your answer numerically to three significant figures with the appropriate units.
► View Available Hint(s)
Submit
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Part C Complete previous part(s)
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Review
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11/8/2022

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