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disa [49]
3 years ago
10

In an amusement park rocket ride, cars are suspended from 3.40-m cables attached to rotating arms at a distance of 5.90 m from t

he axis of rotation. The cables swing out at a constant angle of 45.0° when the ride is operating. What is the angular speed of rotation?
Physics
1 answer:
Ksivusya [100]3 years ago
7 0

Answer:

The angular speed of rotation is 1.34 rad/s.

Explanation:

Given that,

Length = 3.40 m

Distance = 5.90 m

Angle = 45.0°

We need to calculate the angular speed of rotation

Using balance equation

Horizontal component

T\cos\theta=mg

T=\dfrac{mg}{\cos\theta}

Vertical component

T\sin\theta=m\omega^2 r

Put the value of T

mg\tan\theta=m\omega^2(d+L\sin\theta)

\omega=\sqrt{\dfrac{g\tan\theta}{(d+L\sin\theta)}}

Put the value into the formula

\omega=\sqrt{\dfrac{9.8\tan45.0}{5.90+3.40\sin45.0}}

\omega=1.34\ rad/s

Hence, The angular speed of rotation is 1.34 rad/s.

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Potential energy can be calculated using the following rule:
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The Earth rotates once every day. What is the velocity of a person on its surface, if the radius of Earth is 6 million meters
LekaFEV [45]

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v = 2 Π / 8.64E4 * 6.0E6 = 436 m / s

Check:

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2 years ago
Use the exact values you enter to make later calculations. Jack and Jill are on two different floors of their high rise office b
erastovalidia [21]

The part B of the question is missing and it is;

b) What is the height between the two window ledges?

Answer:

A) 20.76 m/s

B) 161.52 m

Explanation:

A) To calculate the initial speed we use the formula from Newton's first law of motion:

v = u + at

Making u the subject gives;

u = v - at

Where;

v is the final velocity which is the speed when Jill sees the pot = 60 m/s

u is the initial velocity which is the speed when Jack sees the pot go by

t is the time between the two observed events = 4 s

a in this question is acceleration due to gravity = 9.81 m/s².

Plugging in the relevant values into the initial velocity equation gives;

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(y1 - y0) = ut + ½at²

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3 0
4 years ago
What affect would using a 12V car battery have on the operation of your circuit? (Do not try this.) What would happen to the cur
k0ka [10]

Answer:

Incomplete question

This is the completed question

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Using ohms law as our basis

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V∝I

Resistance is the constant of proportionality

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