What are the big 5 equations for physics

A 120-V motor has mechanical power output of 2.50hp. It is 90.0% efficient in converting power that it takes in by electrical tr

EastWind [94]

The current in this motor is equal to 17.27 Ampere.
The energy delivered to this motor in 3.00 hours is equal to 22.38 Megajoules.
At $0.110/kWh, the cost to run the motor for 3.00 hours is equal to $0.684.

<h3>How to determine the current (in A) delivered to the motor?</h3>

Assuming this electric motor is a single-phase motor and it operates by using DC current, its mechanical power output would be given by:

W = ηIV

Making current (I) the subject of formula, we have:

I = ηV/W

Substituting the given parameters into the formula, we have;

I = (2.50 × 0.746 × 1000)/(0.9 × 120)

I = 1,865/108

Current, I = 17.27 Ampere.

For the energy delivered to this motor, we have:

First of all, we would determine the power delivered to this motor as follows:

Power, P = IV

Power, P = 17.27 × 120

Power, P = 2,072.4 Watt.

Therefore, the energy delivered to this motor in 3.00 hours is given by:

Energy = power × time

Energy = 2,072.4 × 3.00 × 3,600 × 1/1000000

Energy = 22.38 Megajoules.

<h3>How to determine the cost?</h3>

At $0.110/kWh, the cost to run the motor for 3.00 hours is given by:

Cost = 0.110 × 22.38 × 0.278

Cost = $0.684.

Read more on energy here: brainly.com/question/15567897

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Complete Question:

A 120-V motor has mechanical power output of 2.50 hp. It is 90.0% efficient in converting power that it takes in by electrical transmission into mechanical power.

(a) Find the current in the motor.

(b) Find the energy delivered to the motor by electrical transmission in 3.00 h of operation.

(c) If the electric company charges $0.110/kWh, what does it cost to run the motor for 3.00 h?

6 0

2 years ago

An oil drop of mass 3.25X10^-15 kg falls vertically with uniform velocity, through the air between vertical parallel plates whic

Ksju [112]

Answer:

Explanation:

Do it this way

6 0

3 years ago

1 A truck covers a distance of 580km in 7 hours - Calculate<br>the velocity in km/hr

Digiron [165]

Answer:

82.86

Explanation:

to find velocity you displacement by time

3 0

3 years ago

An astronaut is planning a trip to a newly-discovered planet. According to 2 points

rodikova [14]

Answer:

The new planet has more gravity

Explanation:

gravity force = G m1 m2 / r^2

decresing r or increasing the planet mass will increase the force

3 0

3 years ago

You are a pirate working for dread pirate roberts. you are in charge of a cannon that exerts a force 20000 n on a cannon ball wh

Crazy boy [7]

Refer to the diagram shown below.

F = 2000 N, the force exerted on the cannonball
L = 2.41 m, the length of the barrel
V₀ = 83 m/s, the launch velocity
θ = 35°, the launch angle

Let m = the mass of the cannonball.
Let a = the acceleration of the ball when fired.

The net force acting on the ball is
F - mg sinθ = 2000 - 9.8*m*sin(35°) = 2000 - 5.621*m N

Then, from Newton's Law of motion,
F = ma
2000 - 5.621*m = m*a (1)

The launch velocity is V₀ = 8.3 m/s, therefore
V₀² = 2*a*L
(83 m/s)² = 2*(a m/s²)*(2.41 m)
6889 = 4.82*a
a = 6889/4.82 = 1429.25 m/s² (2)

Insert (2) into (1)
2000 - 5.621*m = 1429.25*m
2000 = 1434.871*m
m = 1.394 kg

Answer: 1.394 kg

4 0

4 years ago