Explanation Show the circular V-belt is divided into three segments as shown in Figure 1. Express the surface area of the ring using the theorem of Pappus and Guldinus. A = θ × ∑ r ¯ L (I) Here, the surface area of revolution is A , the angle of revolution measured in radians is θ , the perpendicular distance from the axis of revolution to the centroid of the generating curve is r ¯ , and the length of the generating curve is L . Since the angle of revolution is measured in radians, θ = 2 π rad Substitute 2 π rad for θ in Equation (I). A = 2 π × ∑ r ¯ L (II) Conclusion: Refer to Figure 1 and use spreadsheet to calculate the values of L , r ¯ , and r ¯ L for three segments as shown in Table 1. Segment L ( m ) r ¯ ( m ) r ¯ L ( m 2 ) 1 0

15th Edition

ISBN: 9780137514724

Author: HIBBELER

Publisher: PEARSON

See similar textbooks

Concept explainers

Radiation

Radiation can be described as the energy in the form of a particular matter or electromagnetic waves traveling in the air and can be in the form of light, sound, and heat. Radiation can be detected through special instruments like X-rays. The radiation f…

Videos

Question

Chapter 9, Problem 6RP

To determine

The surface area of a material required to make belt (A) .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 9, Problem 5RP

Chapter 9, Problem 7RP

Students have asked these similar questions

ฉันต้องการหา อุณหภูมิสุดท้ายของกระบวนการนี้และงานของกระบวนการนี้มีค่าเท่าใด

The pressure and temperature at the beginning of compression of a cold air-standard Diesel cycle are 100 kPa and 300 K , respectively. At the end of the heat addition, the divssure is 7.2 MPa and the temperature is 2050 K . Assume constant specific heats evaluated at 300 K . Determine:(a) the compression ratio.(b) the cutoff ratio.(c) the percent thermal efficiency of the cycle.(d) the mean effective pressure, in kPa .

Q3. Determine the reaction force at A and force P applied at 45° to the horizontal just necessary to start a roller 100 cm diameter over an obstruction 25 cm high, if the roller weighs 1000 N, as shown in Fig. 3. Fig. (3)

Chapter 9 Solutions

PEARSON ETEXT ENGINEERING MECH & STATS

Ch. 9 - Determine the centroid (x,y) of the shaded area....Ch. 9 - Determine the centroid (x,y) of the shaded area....Ch. 9 - Determine the centroid of the shaded area. Prob....Ch. 9 - Locate the centroid of the homogeneous solid...Ch. 9 - Locate the centroid z of the homogeneous solid...Ch. 9 - Locate the center of gravity x of the homogeneous...Ch. 9 - Locate the center of gravity of the homogeneous...Ch. 9 - Locate the centroid of the area.Ch. 9 - Locate the centroid x of the shaded area. Probs....Ch. 9 - Locate the centroid of the shaded area. Probs....

Knowledge Booster

Learn more about

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

The surface area of a material required to make belt ( A ) .

Solution Summary: The author explains the surface area of a material required to make belt (A).

Concept explainers

Videos

The surface area of a material required to make belt (A) .

Want to see the full answer?

Chapter 9 Solutions