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laila [671]
4 years ago
6

The horsepower (hp) that a shaft can safely transmit varies jointly with its speed, in revolutions per minute (rpm), and the cub

e of the diameter. If the shaft of a certain material 3 inches in diameter can transmit 46 hp at 100 rpm, what must the diameter be in order to transmit 74 hp at 175 rpm?
Physics
1 answer:
RoseWind [281]4 years ago
7 0

Answer:

diameter ≅  3 inches

Explanation:

HP=k*s*d^{3}

Use a constant factor, k

Let Hp = horsepower

Let s = speed in rpm

Let d = diameter in inches

to find constant k, using

Hp=46

S=100

d=3 in

46=k*100*3^{3} \\\\46=k*100*27\\46=2700k\\k=\frac{46}{2700} \\k=0.017\\\\

 

To find diameter when;

Hp=74

S=175

k=0.017

d=d inches

74=0.017*175*d^{3} \\\\74=2.975*d^3\\d^3=\frac{74}{2.975} \\d=\sqrt[3]{24.87}   \\d=2.9 inches\\\\  d≅ 3 inches

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Answer:

Yes.

Explanation:

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SUMMARY:

A negative velocity means that the object which has the negative velocity is moving in the opposite direction of an object moving at a positive velocity. This is a question of frame of reference. The possibility for the velocity is what makes it different to the speed. Speed is only positive.

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3 years ago
Alex goes cruising on his dirt bike. He rides 700 m north, 300 m east, 400 m north, 600 m west, 1200 m south, 300 m east, and fi
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ANSWER

0\operatorname{km}

EXPLANATION

First, let us make a sketch of the question:

From the diagram:

=> black line represents North

=> green line represents East

=> blue line represents West

=> red line represents South

From the diagram, we see that at the end of his journey, he returns to his start point.

Since displacement is the measure of the change in the position of an object and the boy's position did not change after the journey, his displacement is:

0\operatorname{km}

7 0
1 year ago
The compass of an airplane indicates that it is headed due north and its airspeed indicator shows that it is moving through the
yarga [219]

Answer:

Airplane speed relative to the ground is 260 km/h and θ = 22.6º  direction from north to east

Explanation:

This is a problem of vector composition, a very practical method is to decompose the vectors with respect to an xy reference system, perform the sum of each component and then with the Pythagorean theorem and trigonometry find the result.

Let's take the north direction with the Y axis and the east direction as the X axis

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a) See the annex

Analytical calculation of the magnitude of the speed and direction of the aircraft

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Airplane speed relative to the ground is 260 km/h

         Tan θ = Vy / Vx

         tan θ = 100/240

         θ = 22.6º

           

Direction from north to eastb

b) What direction should the pilot have so that the resulting northbound

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          Vox = Vo cos θ

          Voy = Vo sin  θ

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North to West Direction

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