Dilbert has gone to Elbonia to look at the latest version of their outsourced pr

Question

Dilbert has gone to Elbonia to look at the latest version of their outsourced product. He finds that the power consumption of the device is rated at 2.5 swinepower by the Elbonians. He finds a reference book with the following conversion factors:
I. 1 swinepower = 1 swinework/swineday

II. 1 swinework = 25 kilojoules
III. 1 swineday = 21600 seconds (about 6 hours – their swine sleep a lot)

He wants to convert the power consumption from swinepower to Watts, where 1 Watt = 1 Joule/second. In order to do this he needs to

a)Multiply 2.5 by 25000 * 21600.

b)Multiply 2.5 by 25 * 21600.

c)Multiply 2.5 by 25000 / 21600.

d)Multiply 2.5 by 25 / 21600.

e)Multiply 2.5 by 21600 / 25.

f)Multiply 2.5 by 21600 / 25000.

Choose which of the equations below is dimensionally incorrect, given that x is a distance, v is a velocity, a is an acceleration and t is time.

a)x=vt+at2

b)v=x/4t+v0 +at2

c)5 a x = 12 (v2 - v02 )

d)4 = 3 a t2 / x

Explanation / Answer

1. To convert the power consumption from swinepower to Watts (where, 1 Watt = 1 Joule/second).

In order to do this, we needs to -

(c) Multiply 2.5 by 25000 / 21600

Explanation :   we know that,    1 swinepower = (1 swinework) / (1 swineday)

1 swinepower = (25 kilojoules) / (21600 seconds)

1 swinepower = (25000 J) / (21600 s)

Power consumption = (2.5) [(25000 J) / (21600 s)]

Power consumption = 2.893 W

option (c) : it will be correct.

2. Choose which of the equations is dimensionally incorrect.

Given that, x is a distance, v is a velocity, a is an acceleration and t is time.

(b) v = x / (4t) + v0 + a t2

Explanation : v = [(m) / (4s)] + (m/s) + (m/s2) (s2)

v = (1/4) (m/s) + (m/s) + m

option (b) : it will be correct.

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