Q 49 Find the work described in each ... [FREE SOLUTION]

Chapter 6: Q 49 (page 557)

Find the work described in each of Exercises 49鈥�60.
The work required to lift a full cylindrical soda fountain cup 1 foot into the air, given that the cup is full and has a radius of 3 inches and a height of 6 inches. You may assume that soda has the same weight-density as water.

Short Answer

Expert verified

The work required to lift a full cylindrical soda = 6.126 foot-pounds

Step by step solution

Given Information

The work required to lift a full cylindrical soda fountain cup 1 foot into the air, given that the cup is full and has a radius of 3 inches and a height of 6 inches.

Formulas

Volume of cylinder = ${蟺谤}^{2} h$

where 'r' is the radius and 'h' is the height

Work required to lift and object is $W = F d$

F is the object weight

d is the distance

Convert inches to feet

$1 i n = \frac{1}{12} f t 3 i n = \frac{3}{12} = \frac{1}{4} f t 6 i n = \frac{6}{12} = \frac{1}{2} f t V o l u m e = {蟺谤}^{2} h V = 蟺 {(\frac{1}{4})}^{2} (\frac{1}{2}) V = \frac{蟺}{32} {ft}^{3}$

Force

Force is given by the formula

$F = V 蝇 w e i g h t d e n s i t y 蝇 = 62.4 p o u n d s p e r c u b i c f e e t V i s t h e v o l u m e F = \frac{蟺}{32} (62.4) F = 6.1261$

Work

Now we find out the work required to lift a full cylindrical soda

$W = F d d i s \tan c e = 1 F = 6.1261 W = 6.1261 (1) W = 6.1261$

the work required to lift a full cylindrical soda = 6.126 foot-pounds

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91影视

Find the work described in each of Exercises 49鈥�60.
The work required to lift a full cylindrical soda fountain cup 1 foot into the air, given that the cup is full and has a radius of 3 inches and a height of 6 inches. You may assume that soda has the same weight-density as water.

Short Answer

Step by step solution

Given Information

Formulas

Convert inches to feet

Force

Work

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

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91影视

Find the work described in each of Exercises 49鈥�60.The work required to lift a full cylindrical soda fountain cup 1 foot into the air, given that the cup is full and has a radius of 3 inches and a height of 6 inches. You may assume that soda has the same weight-density as water.

Short Answer

Step by step solution

Given Information

Formulas

Convert inches to feet

Force

Work

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Logic and Functions

Discrete Mathematics

Statistics

Probability and Statistics

Geometry

Study anywhere. Anytime. Across all devices.

Find the work described in each of Exercises 49鈥�60.
The work required to lift a full cylindrical soda fountain cup 1 foot into the air, given that the cup is full and has a radius of 3 inches and a height of 6 inches. You may assume that soda has the same weight-density as water.