An energy storage system based on a flywheel (a rotating disk) can store a maximum of 3.7 MJ when the flywheel is rotating at 13000 revolutions per minute. Part A What is the moment of inertia of the flywheel? Express your answer in kilogram meters squared. 5. ΑΣΦ B ? kg-m²

An energy storage system based on a flywheel (a rotating disk) can store a maximum of 3.7 MJ when the flywheel is rotating at 13000 revolutions per minute. Part A What is the moment of inertia of the flywheel? Express your answer in kilogram meters squared. 5. ΑΣΦ B ? kg-m²

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter10: Rotational Motion And Angular Momentum

Section: Chapter Questions

Problem 30PE: To develop muscle tone, a woman lifts a 2.00-kg weight held in her hand. She uses her biceps muscle...

See similar textbooks

Related questions

Q: You need to design an industrial turntable that is 67.0 cmcm in diameter and has a kinetic energy of…

Q: How is the angular displacement related to the angular velocity? A. The change in the angular…

Q: A thin uniform rod (of mass 10kg and length of 1.2m) is attached to a friction-free pivot.…

Q: The engine of an aircraft propeller delivers an amount of power 173 hp to the propeller at a…

Q: There is a Lazy Susan on the kitchen table that has a slot going through the center of it. You place…

Q: A 1.8 kg bicycle tire with a radius of 31 cm rotates with an angular speed of 155 rpm. Part A Find…

Q: Item 21 You are designing a rotating metal flywheel that will be used to store energy. The flywheel…

Q: cylinder box 10m

Q: 2. A 1.50-kg particle moves in the xy plane with a velocity of y = (4.20i – 3.60j )m/ s. Determine…

A: m = 1.50 kya v = 4.20i - 3.60j m/s r = 1.50i +2.20j m To calculate angular Momentum L

Q: Pdep%323622379&tags=Dautosave#ques 9&tags%3Dautosave#ques nd on page Enter text to search No results…

Q: The pulley in (Figure 1) has radius 0.160 m and moment of inertia 0.380 kg-m². The rope does not…

Q: A merry-go-round with a moment of inertia equal to 1250 kg m2 and a radius of 2.7 m rotates with…

A: Given that:I1=1250 kg.m2r=2.7 mωi=1.71 rad/sωf=1.29 rad/s

Q: A merry-go-round accelerates from rest to 0.67 rad/s in 33s. Part A Assuming the merry-go-round is a…

A: Calulating the torque:

Q: A boomerang is thrown to the air with a velocity of 25.0 m/s at an angle of 45.0° from the…

A: Given: Velocity,v=25m/sAngle,θ=450Mass,m=0.5kgAngular…

Q: A 2.0-m-long, 300 g rod is hinged at one end and connected to a wall. Initially, it is held out…

A: The expression for the angular speed is,

Concept explainers

Instantaneous Power

Power is defined in physics as the amount of energy transmitted or transformed per unit time. The watt is the unit of electricity in the International System of Units, equivalent to one joule per second.

Question

An energy storage system based on a flywheel (a rotating disk) can store a maximum of 3.7 MJ when the
flywheel is rotating at 13000 revolutions per minute.
Part A
What is the moment of inertia of the flywheel?
Express your answer in kilogram meters squared.
I =
15. ΑΣΦ
男
?
kg m²
_

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: Given information regarding flywheel energy stored

VIEW

Step 2: Finding moment of inertia of rotating flywheel

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 3 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

The mass of a hoop of radius 1.0 m is 6.0 kg. It rolls across a horizontal surface with a speed of 10.0 m/s. (a) How much work is required to stop the hoop? (b) If the hoop starts up a surface at 30 to the horizontal with a speed of 10.0 m/s, how far along the incline will it travel before stopping and rolling back down?
A small particle of mass m is pulled to the top of a friction less half-cylinder (of radius R) by a light cord that passes over the top of the cylinder as illustrated in Figure P7.15. (a) Assuming the particle moves at a constant speed, show that F = mg cos . Note: If the particle moves at constant speed, the component of its acceleration tangent to the cylinder must be zero at all times. (b) By directly integrating W=Fdr, find the work done in moving the particle at constant speed from the bottom to the top of the hall-cylinder. Figure P7.15
When there is a global heating trend on Earth, the atmosphere expands and the length of the day increases very slightly. Explain why the length of a day increases.
Which of the following statements is true about the relationship between the dot product of two vectors and the product of the magnitudes of the vectors? (a) AB is larger than AB. (b) AB is smaller than AB. (c) AB could be larger or smaller than AB, depending on the angle between the vectors. (d) AB could be equal to AB.
(a) For what values of the angle between two vectors is their scalar product positive? (b) For what values of is their scalar product negative?
A space probe is fired as a projectile from the Earths surface with an initial speed of 2.00 104 m/s. What will its speed be when it is very far from the Earth? Ignore atmospheric friction and the rotation of the Earth. P11.26 Ki+Ui=Kf+Uf12mvi2+GMEm(1rf1ri)=12mvf212vi2+GME(01RE)=12vf2orvf2=v122GMEREandvf=(v122GMERE)1/2,vf=[(2.00104)21.25108]1/2m/s=1.66104m/s
The puck in Figure P11.46 has a mass of 0.120 kg. The distance of the puck from the center of rotation is originally 40.0 cm, and the puck is sliding with a speed of 80.0 cm/s. The string is pulled downward 15.0 cm through the hole in the frictionless table. Determine the work done on the puck. (Suggestion: Consider the change of kinetic energy.) Figure P11.46
Show that when A+B=C then A2+B2+2ABcos , where is the angle between vectors A and B .
A cam of mass M is in the shape of a circular disk of diameter 2R with an off-center circular hole of diameter R is mounted on a uniform cylindrical shaft whose diameter matches that of the hole (Fig. P1 3.78). a. What is the rotational inertia of the cam and shaft around the axis of the shaft? b. What is the rotational kinetic energy of the cam and shaft if the system rotates with angular speed around this axis?
A long, thin rod of mass m = 5.00 kg and length = 1.20 m rotates around an axis perpendicular to the rod with an angularspeed of 3.00 rad/s. a. What is the angular momentum of therod if the axis passes through the rods midpoint? b. What is theangular momentum of the rod if the axis passes through a pointhalfway between its midpoint and its end?
The blades of a wind turbine are 30 m in length and rotate at a maximum rotation rate of 20 rev/min. (a) If the blades are 6000 kg each and the rotor assembly has three blades, calculate the angular momentum of the turbine at this rotation rate. (b) What Is the torque require to rotate the blades up to the maximum rotation rate in 5 minutes?
A small block of mass m = 200 g is released from rest at point along the horizontal diameter on the inside of a frictionless, hemispherical bowl of radius R = 30.0 cm (Fig. P7.45). Calculate (a) the gravitational potential energy of the block-Earth system when the block is at point relative to point . (b) the kinetic energy of the block at point , (c) its speed at point , and (d) its kinetic energy and the potential energy when the block is at point . Figure P7.45 Problems 45 and 46.