Answered: The work done in accelerating a…

The work done in accelerating a propeller from rest to an angular speed of 35 rad/s is 1000 J. What is the moment of inertia of the propeller?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter8: Rotational Motion

Section8.2: Rotational Dynamics

Problem 36SSC

See similar textbooks

Related questions

Q: A person sitting on a rotating stool has two weights in his hands, each with a 10Kg dough. When…

A: Given data: The magnitude of weights in hand is m=10 kg. Distance from axis of rotation is r1=0.9…

Q: A rotor with an initial angular speed of 3 rad/s accelerates at the rate of 2 rad/s2 to a final…

A: The time taken for the given case is ω=ω0+αtt=ω-ω0α=26-3 rad/s2 rad/s2=11.5 s

Q: A wheel is turning about an axis through its center with constant angular acceleration. Starting…

A: Solution: Given that ∆θ = 8.5 revolutionst = 13 sKE = 33.5 J

Q: An electric fan spinning with an angular speed of 13 rad>s has akinetic energy of 4.6 J. What is…

Q: A turntable with a moment of inertia of 0.028 kg∗m^2 rotates freely at 3.3 rad/s. A circular disk of…

A: Given data The initial moment of inertia of the turntable is Ii_t = 0.028 kgm2 The initial angular…

Q: A potter's wheel is a horizontal disk with a moment of inertia of 0.7 kg m2 rotates with a constant…

Q: A cylinder of radius 2.59 cm2.59 cm and a sphere of radius 9.22 cm9.22 cm are rolling without…

Q: A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down a 35° incline that is 7.0…

A: Given data as per question mass of sphere = 1.5 kg radius = 15cm

Q: A turntable with a moment of inertia of 1260 kg m^2 and a radius of 2.5 m rotates frictionlessly…

A: GivenI1= 1260 kgm2R = 2.5 mmass of person m = ?Angular velocity of table w1 = 1.7 rad sAngular…

Q: A wheel of moment of inertia of 4.00 kg∙m2 starts from rest and accelerates under a constant torque…

Q: The centrifuge rotor has a moment of inertia of 3.75 x 10 ^ -2 kg m2. How much energy is required to…

Q: Find the moment of inertia of a solid sphere with a radius of 0.5 m and a mass of 0.5 kg.

A: Write the given values with the suitable variables. r=0.5 mm=0.5 kg Here, r is the radius and m is…

Q: An ice skater spinning with outstretched arms has an angular speed of 4.0 rad/s . She tucks in her…

Q: A man stands at the center of a platform that rotates without friction with an angular speed of 2.49…

Q: Of a smooth rod of mass M and length L, whose thickness is neglected; a) Find the moment of inertia…

Q: The moment of inertia of a uniform rod (about its center) is given by /= ML2/12. What is the kinetic…

A: Given: The mass of the rod is 450 g = 0.45 kg. { 1 g = 0.001…

Q: A wheel is turning about an axis through its center with constant angular acceleration. Starting…

A: Given Number of revolutions θ=8.25 revolutions = 51.84 rad t = 15 s KE = 34 J

Q: A 175-N x m torque is applied to a disk with a moment of inertia 66 kg x m. If the disk starts from…

Q: A 40-kg cylinder pulley with a radius of 0.2 m rotates at a constant angular speed of 4 rad/s. What…

Q: 500 J of work is used to decrease the angular velocity of a disk from 65 rad/s to 52 rad/s. What is…

A: Given, Energy KE = 500 J Initial angular velocity of disk ω0=65 rad/s Final angular velocity of disk…

Q: A wheel is turning about an axis through its center with constant angular acceleration. Starting…

Q: A rotating table, with moment of inertia 29 kg·m2, is spinning at 40 rpm. A piece of clay is dropped…

Q: A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a…

Q: A rotating flywheel can be used to store energy. If it is required to store 1.00 × 106 J of energy…

Q: A ring pulley has a mass of 500 g, an inner radius of 5 cm and an outer radius of 10 cm. What is its…

A: Mass, m = 500 g = 0.5 kg Inner radius, r = 5 cm = 0.05 m Outer radius, R = 10 cm = 0.1 m Moment of…

Q: A thin solid disk of mass 21.6 kg is rotating at 10.6 rad/s about an axis through its center and…

Q: A grinder consists of a 5.34 kg steel block on a 1.87 m long arm that spins around a table. If the…

A: Use the Newton’s second law of motion,

Q: 9. A solid ball of mass M, radius R (moment of inertia = (2/5) MR²) starts from rest at a height of…

A: In rolling down on a inclined plan, The potential energy Mgh is converted in to linear and…

Q: A bicycle rides past you at a speed of 7.80 m/s. Its wheel has a diameter of 42.9 cm and a moment of…

Q: It took a constant 500 W power to run an engine from rest to its operating speed in 20 seconds. What…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: When a ceiling fan rotating with an angular speed of 3.96 rad/s is turned off, a frictional torque…

Q: The net work done in accelerating a propeller from rest to an angular velocity of 200 rad/s is 3 000…

A: Given: The net work done by the propeller is E=3000 J. The angular velocity is ω=200 rad/s. The…

Q: Yo-Yo man releases a yo-yo from rest and allows it to drop, as he keeps the topend of the string…

Q: A typical helicopter with four blades rotates at 240 rpm and has a kinetic energy of 3.45 105 J.…

A: The kinetic energy, KE=3.45×105 J The angular speed, ω=240 rpm×2π rad1 rev×1 min60 s=25.13 rad/s

Q: A rotating wheel has a kinetic energy of 225 J when it is rotating at an angular speed of 30 rad/s.…

A: Given kinetic energy = 225 J angular speed = 30 rad/s at that time We have to determine the moment…

Q: A system consists of a disk of mass 2.0 kg and radius 50 cm upon which is mounted an annular…

Q: A uniform solid sphere has mass M and radius R. If these are changed to 4M and 4R, by what factor…

A: The moment of inertia of the sphere is I = 25 mr2 where, m is the mass and r is the radius.

Q: A turntable (disk) of radius r = 27.0 cm and rotational inertia 0.440 kg · m2 rotates with an…

Q: A meter stick is hinged at its lower end and allowed to fall from a vertical position. If its moment…

A: In this question a meter stick is given L= 1 m The stick is hinged at its lower end and allowed to…

Q: When a ceiling fan rotating with an angular velocity of 3.60 rad/s is turned off, a frictional…

Q: A wind turbine has a moment of inertia of 2.2*10^12 kg*m^2 . How much energy is required to speed it…

Q: If a car tire with a moment of inertia of 4 kg*m² has an initial angular speed of 8 rad/s and then…

Q: What is the moment of inertia of a cylinder of radius 5 m and mass of 5 kg?

A: Given Mass of cylinder m = 5 kg Radius of cylinder R = 5m To find Moment of inertia of cylinder

Q: Find the moment of inertia for a solid sphere that rotates about a point on its surface. a) 3/5…

A: For solid sphere moment of inertia about it's centre Ic

Question

5. The work done in accelerating a propeller from rest to an angular speed of 35 rad/s is 1000 J.
What is the moment of inertia of the propeller?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a friction less, vertical axle. A constant tangential force of 250. N applied to its edge causes the wheel to have an angular acceleration of 0.940 rad/s2. (a) What is the moment of inertia of the wheel? (b) What is the mass of the wheel? (c) If the wheel starts from rest, what is its angular velocity after 5.00 s have elapsed, assuming the force is acting during that time?
A bar on a hinge starts from rest and rotates with an angular acceleration = 10 + 6t, where is in rad/s2 and t is in seconds. Determine the angle in radians through which the bar turns in the first 4.00 s.
The triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional boxer exerts a force of 2.00102 N with an effective perpendicular lever arm of 3.00 cm, producing an angular acceleration of the forearm of 120 rad/s2. What is the moment of inertia of the boxer's forearm?
A student rides his bicycle at a constant speed of 3.00 m/s along a straight, level road. If the bikes tires each have a radius of 0.350 m, (a) what is the tires angular speed? (See Section 7.3.) (b) What is the net torque on each tire? (See Section 8.5.)
A baseball pitcher throws the ball in a motion where there is rotation of the forearm about the elbow joint as well as other movements. If the linear velocity of the ball relative to the elbow joint is 20.0 m/s at a distance of 0.480 m from the joint and the moment of inertia of the forearm is what is the rotational kinetic energy of the forearm?
A grindstone increases in angular speed uniformly from 4.00 rad/s to 12.0 rad/s in 4.00 s. (a) Calculate the grindstones angular acceleration. (b) Through what angle does it turn during that time? (See Section 7.2.)
Four objectsa hoop, a solid cylinder, a solid sphere, and a thin, spherical shelleach have a mass of 4.80 kg and a radius of 0.230 m. (a) Find the moment of inertia for each object as it rotates about the axes shown in Table 8.1. (b) Suppose each object is rolled down a ramp. Rank the translational speed of each object from highest to lowest, (c) Rank the objects rotational kinetic energies from highest to lowest as the objects roll down the ramp.
A carnival carousel accelerates nonuniformly from rest, moving through an angle of 8.60 rad in 6.00 s. If its turning at 3.30 rad/s at that time, find (a) its average angular speed, and (b) average angular acceleration during that time interval. (See Section 7.1.)
A playground merry-go-round has a mass of 120 kg and a radius of 1.80 m and it is rotating with an angular velocity of 0.500 rev/s. What is its angular velocity after a 22.0-kg child gets onto it by grabbing its outer edge? The child is initially at rest.
A grinding wheel is in the form of a uniform solid disk of radius 7.00 cm and mass 2.00 kg. It starts from rest and accelerates uniformly under the action of the constant torque of 0.600 N m that the motor exerts on the wheel. (a) How long does the wheel take to reach its final operating speed of 1 200 rev/min? (b) Through how many revolutions does it turn while accelerating?
A constant net torque is exerted on an object. Which of the following quantities for the object cannot be constant? Choose all that apply. (a) angular position (b) angular velocity (c) angular acceleration (d) moment of inertia (e) kinetic energy
A basketball player entertains the crowd by spinning a basketball on his nose. The basketball has a mass of 0.600 kg and a radius of 0.121 m. If the basketball is spinning at a rate of 3.00 revolutions per second, (a) what is its rotational kinetic energy? (See Section 8.6.) (b) What is the magnitude of its angular momentum? Treat the ball as a thin, spherical shell. (See Section 8.7.)