In the motorized rack-and-pinion system in a milling machine, the pinion has 50 teeth and a pitch
Question:
In the motorized rack-and-pinion system in a milling machine, the pinion has 50 teeth and a pitch radius of 0.75 in. (Figure P8.21). Over a certain range of its motion, the motor turns at 800 rpm.
(a) Determine the horizontal velocity of the rack.
(b) If a peak torque of 10 ft ? lb is supplied by the motor, determine the pulling force that is produced in the rack and transferred to the milling machine.
Figure P8.21
800 rpm 10 ft lb
Step by Step Answer:
a To determine the horizontal velocity of the rack we need to calculate the linear velocity of the p...View the full answer
An Introduction To Mechanical Engineering
ISBN: 9781111576820
3rd Edition
Authors: Jonathan Wickert, Kemper Lewis
Related Video
In Physics, a force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity, i.e., to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity. In this video, the concept of force and torque is demonstrated with the practical application of changing the flat tire of the car.
Students also viewed these Engineering questions
-
The elbow of the pipe has an outer radius of 0.75 in. and an inner radius of 0.63 in. If the assembly is subjected to the moments of M = 25 lb · in., determine the maximum stress at section...
-
Consider the rack-and-pinion gear shown in Figure. Use the free-body diagram method to obtain the expression for the acceleration in terms of the given quantities: R, T, m, and I. i7t
-
A steel spur pinion has a module of 1 mm and 16 teeth cut on the 20 full-depth system and is to carry 0.15 kW at 400 rev/min. Determine a suitable face width based on an allowable bending stress of...
-
Nancy has active modified adjusted gross income before passive losses of $75,000. She has a loss of $5,000 on a rental property she actively manages. How much of the loss is she allowed to take...
-
A solution contains 2.0 x 10-4 M Ag+ and 1.5 x 10 -3 M Pb2+ .If NaI is added, will AgI (Ksp = 8.3 x 10-17) or PbI2 (Ksp = 7.9 x 10 -9) precipitate first? Specify the concentration of 1-needed to...
-
Find the set consisting of elements in \(P\) or \(M\). Use the sets provided to apply the "AND" or "OR" operation as indicated to find the resulting set. \(U=\{a, b, c, \ldots, z\}, S=\{s, a, m, p,...
-
What costs are recognized for environmental obligations?
-
The expected annual returns are 15% for investment 1 and 12% for investment 2. The standard deviation of the first investments return is 10%; the second investments return has a standard deviation of...
-
Question 6 An investment in a mutual fund achieves returns of 3.19% (2018), 6.44% (2019), 13.73% (2020), -8.55% (2021), and 23.97% (2022). What would the standard deviation be? Round to two decim...
-
Owen, Inc. manufactures bookcases and uses an activity-based costing system. Owens activity areas and related data follow: Owen produced two styles of bookcases in October: the standard bookcase and...
-
For the compound geartrain, obtain an equation for the velocity and torque ratios in terms of the numbers of teeth labeled in Figure P8.20. Figure P8.20 Output Input Ns N6 N, II Ns N2 N; U N4
-
Two gears, whose centers are 1.5 m apart, are connected by a belt. The smaller 0.40-m diameter gear is rotating with an angular velocity of 50 rad/s. Calculate the angular velocity of the larger...
-
Waterloo, Ltd. manufactures a component used in aircraft navigation systems. Demand has been strong and the executive staff at Waterloo is planning for next year. Yesterday, you were called into a...
-
Explain the frequency response of the differential-mode voltage gain.
-
Which of the following is required for a firm to designate itself Member of the American Institute of Certified Public Accountants on its letterhead? a. At least one of the partners must be a member....
-
The CPA should not undertake an engagement that requires independence if his or her fee is to be based on a. The findings of a tax authority. b. A percentage of audited net income. c. Per diem rates...
-
What publication provides guidance to auditors who perform audits of government entities?
-
Describe the series and shunt output connections of a feedback amplifier.
-
Basic Data Review for Construction Project Equipment Arrangement Use the data in the table above and answer the following questions in the space provided below: What are the sources of value-added...
-
The rate at which the temperature of an object changes is proportional to the difference between its own temperature and the temperature of the surrounding medium. Express this rate as a function of...
-
Use MATLAB to plot the function T = 6 ln t - 7e 0.2t over the interval 1 t 3. Put a title on the plot and properly label the axes. The variable T represents temperature in degrees Celsius; the...
-
Use MATLAB to plot the functions u = 2 log10(60x + 1) and = 3 cos(6x) over the interval 0 x 2. Properly label the plot and each curve. The variables u and represent speed in miles per hour; the...
-
The Fourier series is a series representation of a periodic function in terms of sines and cosines. The Fourier series representation of the function is Plot on the same graph the function f (x) and...
-
Schedule of Activity CostsQuality Control ActivitiesActivity CostProcess audits$49,900 Training of machine operators25,200 Processing returned products18,900 Scrap processi 2 answers
-
The following adjusted trial balance for Bell Servicing wasprepared at the end of the fiscal year, December 31,2023:AccountDebitCredit101Cash$7,100119Merchandise inventory15 2 answers
-
problem 1. General Journal Church Company completes these transactions and events during March of the current year (terms for ? its credit sales are \( 2 / 10, \mathrm{n} / 30 \) ). Mar. 1 Purchased...
Study smarter with the SolutionInn App