Find an expression for the kinetic energy of the particle

Assignment Help Algebra
Reference no: EM131017383

A rigid body is spinning with an angular speed of 60π radians per second (1800 rpm). The axis of rotation lies in the direction of the vector 2i + 2j -k. A small particle on the spinning body with mass of one kilogram passes through the point P with position vector r = xi + yj + zk measured in meters relative to the origin. The origin lies on the axis of rotation.

(i) Explain why the angular velocity (in units of radians per second) of the spinning rigid body is given by the vector 20π (2i + 2j - k).

(ii) What is the velocity (vector) of the particle as it passes through the point P?

(iii) Find an expression for the kinetic energy E of the particle, given in terms of its mass m and its speed v by E = 0.5mv2.

Reference no: EM131017383

Questions Cloud

Horatio needs money to purchase a house : What are Horatio's new payments for the remaining 27 years? Assume the interest rate remains the same as in Q1.
Two rods one of butadiene rubber : Two rods, one of butadiene rubber (BR) and one of high-density polyethylene (HDPE), are rigidly connected in series. The BR rod is 1m long with a diameter of 10mm, while the corresponding dimensions for the HDPE rod are 0.8m and 5mm, respectively.
Two different porous catalyst particles having equal surface : Two different porous catalyst particles having equal surface to volume ratios and pore areas are used to carry out a liquid phase reaction with a first order reaction rate- one is disk-shaped with thickness B=4 mm and diameter d=48 mm while the other..
Depth intuitive walk through of problem : A problem similar to it will be on the exam. He kind of went over it, but the whole class was struggling a more in depth/intuitive walkthrough of this problem.
Find an expression for the kinetic energy of the particle : What is the velocity (vector) of the particle as it passes through the point P? Find an expression for the kinetic energy E of the particle, given in terms of its mass m and its speed v by E = 0.5mv2.
Jughead has been promised a settlement : If Jughead takes each payment and deposits it into an investment that earns a return of 0.75% per month, how much money will be in the account immediately after the last payment?
What is the probability that one will be green and other red : A jar contains 10 blue marbles, 5 red marbles, 4 green marbles, and 1 yellow marble. Two marbles are chosen (without replacement). (a) What is the probability that one will be green and the other red
How the critical ideas of a chosen theorist are impacted : Support your ideas with appropriate citations from the Required Studies and your research. Cite and reference your sources in APA style and include a reference list.
A union shop agreement while hiring an employee : Which of the following is true of a union shop agreement while hiring an employee? a- the employee must join the union within a certain time after employemnet. b- the employee does not join the union but pays an agency fee

Reviews

Write a Review

Algebra Questions & Answers

  Estimate the proportion of the entire population of stores

estimate the proportion of the entire population of stores

  Determine the intervals of the function is increasing

Note: You don't have to work 1 - 6 to determine the intervals of the function is Increasing, Decreasing or Constant but you have to use 1 - 6 to determine the domain and the range of each of the functions graphed in Exercises 1 - 6. Please show the s..

  Monthly cost of long-distance phone plan

Suppose that the monthly cost of a long-distance phone plan (in dollars) is a linear function of the total calling time (in minutes). When graphed, the function gives a line with a slope of 0.09

  Gandmas bakery sells single-crust apple pies for 699 and

grandmas bakery sells single-crust apple pies for 6.99 and double-crusts pies for 10.99. the total number of pies sold

  Solve the expression by complete the square method

Solve the expression by complete the square method

  Describe the transformation that transforms the curve

Describe the transformation that transforms the curve y = √x to the curve y = √(x-4). The curve y = √x is stretched by a scale factor of 5 parallel to the x-axis. State the equation of the transformed curve.

  Apply the order of operations to solve

Apply the order of operations to solve.

  The mean speed of a given airplane on its usual route is

the mean speed of a given airplane on its usual route is 525 mph. due to an excessive headwind the plane only travels

  Proof by mathematical induction

Create a proof by mathematical induction that demonstrates that the sum of the first n even numbers is equal to n(n + 1)

  Determine the future value of an annuity of payments

find the future value of an annuity of payments made at the beggining of each month for 5 years in an

  Explain and give an example of both a linear equation

The techniques for solving linear equations and linear inequalities are similar, yet different - Explain and give an example of both a linear equation and a linear inequality that demonstrates this difference.

  Even-root radical functions

How would you explain to a seventh grader the difference between the domains of an odd root radical function and an even root radical function?

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd