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baherus [9]
3 years ago
13

What are the transfer of energy for the 6 simple machine? Ex: inclined plane is gravitational potential energy to mechanical ene

rgy. What are the rest?
Engineering
1 answer:
lilavasa [31]3 years ago
8 0

Answer:

I. Inclined plane: GPE to KE.

II. Screw: KE to GPE.

III. Wheel and axle: GPE to KE.

IV. Lever: GPE to KE.

V. Wedge: GPE to KE.

VI. Pulley: GPE to KE.

Explanation:

A simple machine can be defined as a type of machine with no moving parts but can be used to perform work.

Basically, a simple machine allows for the transformation of energy into work. The six simple machines are;

I. <u>Inclined plane</u>: gravitational potential energy to mechanical energy (kinetic energy). It is set at an angle and then used to lift an object.

II. <u>Screw</u>: kinetic energy to potential energy. It is held in position and then used to tighten two or more objects together.

III. <u>Wheel and axle</u>: gravitational potential energy to mechanical energy (kinetic energy). It comprises of two circular objects which aids in the motion of an object such as a car.

IV. <u>Lever</u>: gravitational potential energy to mechanical energy (kinetic energy). It comprises of a pivoted bar at a fixed point (fulcrum) that allows it to be used for lifting heavy objects.

V. <u>Wedge</u>: gravitational potential energy to mechanical energy (kinetic energy). It can be used to split objects into halves.

VI. <u>Pulley</u>: gravitational potential energy to mechanical energy (kinetic energy). It is made up of a wheel and rope which allows force to be multiplied such as in a drawing well.

Energy can be defined as the ability (capacity) to do work. The two (2) main types of energy are;

a. Gravitational potential energy (GPE): it is an energy possessed by an object or body due to its position above the earth.

b. Kinetic energy (KE): it is an energy possessed by an object or body due to its motion.

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A thick aluminum block initially at 26.5°C is subjected to constant heat flux of 4000 W/m2 by an electric resistance heater whos
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Given Information:

Initial temperature of aluminum block = 26.5°C

Heat flux = 4000 w/m²

Time = 2112 seconds

Time = 30 minutes = 30*60 = 1800 seconds

Required Information:

Rise in surface temperature = ?

Answer:

Rise in surface temperature = 8.6 °C after 2112 seconds

Rise in surface temperature = 8 °C after 30 minutes

Explanation:

The surface temperature of the aluminum block is given by

T_{surface} = T_{initial} + \frac{q}{k} \sqrt{\frac{4\alpha t}{\pi} }

Where q is the heat flux supplied to aluminum block, k is the conductivity of pure aluminum and α is the diffusivity of pure aluminum.

After t = 2112 sec:

T_{surface} = 26.5 + \frac{4000}{237} \sqrt{\frac{4(9.71\times 10^{-5}) (2112)}{\pi} }\\\\T_{surface} = 26.5 + \frac{4000}{237} (0.51098)\\\\T_{surface} = 26.5 + 8.6\\\\T_{surface} = 35.1\\\\

The rise in the surface temperature is

Rise = 35.1 - 26.5 = 8.6 °C

Therefore, the surface temperature of the block will rise by 8.6 °C after 2112 seconds.

After t = 30 mins:

T_{surface} = 26.5 + \frac{4000}{237} \sqrt{\frac{4(9.71\times 10^{-5}) (1800)}{\pi} }\\\\T_{surface} = 26.5 + \frac{4000}{237} (0.4717)\\\\T_{surface} = 26.5 + 7.96\\\\T_{surface} = 34.5\\\\

The rise in the surface temperature is

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A hydraulic jump is induced in an 80 ft wide channel.The water depths on either side of the jump are 1 ft and 10 ft.Please calcu
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Answer:

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b) 3366.33 ft³/sec

c) 0.235

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e) 3.80 ft

Explanation:

Given:

b = 80ft

y1 = 1 ft

y2 = 10ft

a) Let's take the formula:

\frac{y2}{y1} = \frac{1}{5} * \sqrt{1 + 8f^2 - 1}

10*2 = \sqrt{1 + 8f^2 - 1

1 + 8f² = (20+1)²

= 8f² = 440

f² = 55

f = 7.416

For velocity of the faster moving flow, we have :

\frac{V_1}{\sqrt{g*y_1}} = 7.416

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b) the flow rate will be calculated as

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c) The Froude number of the sub-critical flow.

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V_2 = \frac{3666.66}{80*10}

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\frac{V_2}{g*y_2} = \frac{4.208}{32.2*10}

F2 = 0.235

d) El = \frac{(y_2 - y_1)^3}{4*y_1*y_2}

El = \frac{(10-1)^3}{4*1*10}

= \frac{9^3}{40}

= 18.225ft

e) for critical depth, we use :

y_c = [\frac{(\frac{3366.66}{80})^2}{32.2}]^1^/^3

= 3.80 ft

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