An object moving at constant speed v around a circle of radius r has an acceleration a
Question:
(a) Use dimensional analysis to find a as a function of v and r.
(b) If the speed is increased 10.0%, by what percentage does the radial acceleration increase?
Step by Step Answer:
a Strategy a has dimensions L T 2 v has dimensions L T r has dimension L If we square v and div...View the full answer
Physics
ISBN: 978-0077339685
2nd edition
Authors: Alan Giambattista, Betty Richardson, Robert Richardson
Related Video
The area of a circle is given by the formula: A = ?r^2 Where A is the area, ? is a mathematical constant (approximately 3.14), and r is the radius of the circle. The radius is the distance from the center of the circle to the edge. So for example, if the radius of a circle is 5 units, the area would be: A = ?(5^2) = ?(25) = 78.5 square units Here three friends went out to a restaurant and decided to have pizza for lunch. While they were waiting for their order, one of them stepped out to take a call but promised to return in two minutes. The waiter came and presented them with the menu, and they decided to order two 10-inch pepperoni pizzas. The waiter took their order and left. Just then, the third friend returned and asked what they had ordered. They explained that they had ordered two small pepperoni pizzas as they were only three of them and it would be enough for them. However, the third friend suggested that for the same price, they could get a large pizza that would be much bigger than the two small ones. He asked the waiter for a pen and paper and proceeded to calculate the area of the two small pizzas and compared it to the area of one large pizza. The friends were amazed at how the circle measurements worked and decided to change their order from two small pizzas to one large pizza.
Students also viewed these Mechanics questions
-
A long cart moves at relativistic speed v. Sand is dropped into the cart at a rate dm/dt = in the ground frame. Assume that you stand on the ground next to where the sand falls in, and you push on...
-
A long cart moves at relativistic speed v. S and is dropped into the cart at a rate dm/dt = in the ground frame. Assume that you grab the front of the cart and pull on it to keep it moving at...
-
A car travels three quarters of the way around a circle of radius20.0 m in a time of 3.0 s at a constant speed. The initial velocity is west and the final velocity is south. (a) Find its average...
-
The MRP gross requirements for Item A are shown here for the next 10 weeks. Lead time for A is three weeks and setup cost is $ 10. There is a carrying cost of $ 0.01 per unit per week. Beginning...
-
Rons, Inc.s inventory records for a particular development program show the following at May 31: At May 31, 10 of these programs are on hand. Journalize for Rons: 1. Total May purchases in one...
-
(Continuation of 12.S.27) The following are summary statistics for the selenium data in Exercise 12.S.27. = 20.685 = 156.599 sX = 13.4491 sY = 36.0595 r = 0.53729 SS(resid) = 17,573.4 (a) Calculate...
-
Consider a seven-year fair market value lease for a \($12.5\) million Gulfstream jet with a remaining useful life of 10 years. Suppose the monthly lease payments are \($175,000\) and the appropriate...
-
Llungby AB spent 1,000,000 krone in 2017 on the development of a new product. The company determined that 25 percent of this amount was incurred after the criteria in IAS 36 for capitalization as an...
-
Explain why clients may want to have a review, versus an audit. In detail, explain the differences between a certified audit and a review. In addition, what role does an internal auditor play in...
-
A synchronous sequential circuit has one input and one output. If the input sequence 0101 or 0110 occurs, an output of two successive 1s will occur. The first of these 1s should occur coincident with...
-
A sheet of paper has length 27.95 cm, width 8.5 in., and thickness 0.10 mm. What is the volume of a sheet of paper in m3? (Volume = length width thickness.)
-
The speed of ocean waves depends on their wavelength (measured in meters) and the gravitational field strength g (measured in m/s2) in this way: v = Klpgq where K is a dimensionless constant. Find...
-
How frequently are the payoff and the purchase-and-assumption methods used by the FDIC? Using FRED, plot the total number of institutions receiving such assistance (FRED codes: BKTTPIA641N for...
-
Provide reference Please answer all three (3) questions utilizing your textbook, all other course materials provided, lectures and independent research if necessary. Provide 'complete answers' to...
-
Describe a situation that constitutes disparate treatment. 2. What is the name of the test courts use in disparate treatment cases (also the name of the case it was developed from)? 3. Michael...
-
prepare a spreadsheet summarizing the following resources and power costs of the department for April: Electricity $287 Gas $102 Office paper $1,098 Envelopes $309 Computer supplies $2,098 Stationery...
-
Complete the FAT table below. You are writing a file that is 4326 bytes long. The cluster size is 512 bytes. Assume the file starts at the first available cluster on the drive. What do the "E"...
-
Don't think that Tyra would be able to get a patent for her skirt simply because there is a Coca-Cola logo on her skirt. The skirt couldn't get patented in itself because it's fabric but she would...
-
1. Using the FIFO process-costing method, do the requirements of Exercise 4.24. The transferredin costs from the Forming Department for the April opening work in progress are 17,520. During April,...
-
Revol Industries manufactures plastic bottles for the food industry. On average, Revol pays $76 per ton for its plastics. Revol's waste-disposal company has increased its waste-disposal charge to $57...
-
A 9.60-C point charge is at the center of a cube with sides of length 0.500 m. (a) What is the electric flux through one of the six faces of the cube? (b) How would your answer to part (a) change if...
-
Electric Fields in an Atom The nuclei of large atoms, such as uranium, with 92 protons, can be modeled as spherically symmetric spheres of charge. The radius of the uranium nucleus is approximately...
-
A point charge of +5.00 C is located on the x-axis at x = 4.00 m, next to a spherical surface of radius 3.00 m centered at the origin. (a) Calculate the magnitude of the electric field at x = 3.00 m....
-
Create a C++ program that concatenates 'n' number of strings input by the user, while adhering to the following specifications. Note that the strcat() function cannot be used. 1. The program asks the...
-
What role do ethnomethodological approaches play in uncovering the underlying norms and assumptions that govern everyday social interactions, and how do these insights inform our understanding of...
-
Consider f(x) = (x1 + x). Given the iterate xk = [H] and the search direction dk = show that " dk is a descent direction and find the minimizer of min f(xk+adk). a0
Study smarter with the SolutionInn App