Please Help!!!: How many seconds will it take a 12hp motor to lift a 1500lb elevator at a distance of 9ft? what was the average velocity of the elevator?

English Units?

convert hp to ft-lb/sec to get motor power http://www.gordonengland.co.uk/conversion/power.htm

motor power=1500lb*velocity or
motor power= 1500lb*9ft/time

either solve for time, or velocity.

To determine the time it takes for the motor to lift the elevator and the average velocity of the elevator, we need to use physics formulas.

Step 1: Convert the units
We need to convert the horsepower (hp) to watts (W) to use in our calculations.
1 hp = 746 watts
So, 12 hp = 12 * 746 = 8952 watts.

Also, convert the weight of the elevator from pounds to Newtons since the formula we'll use requires the weight in Newtons.
1 pound = 4.44822 Newtons
So, 1500 lbs = 1500 * 4.44822 = 6672.33 Newtons.

Step 2: Calculate the work done
The work done is calculated using the formula:
Work (W) = Force (F) * Distance (d)

In this case, the force is equal to the weight of the elevator in Newtons, and the distance is given as 9ft.
W = F * d
W = 6672.33 N * 9 ft

Step 3: Calculate the time
The time taken to do the work can be calculated using the formula:
Time (t) = Work (W) / Power (P)

In this case, the power of the motor is given as 8952 watts.
t = W / P
t = (6672.33 N * 9 ft) / 8952 W

Step 4: Calculate the average velocity
The average velocity (v) can be calculated using the formula:
v = d / t

In this case, the distance is given as 9ft and the time is calculated in the previous step.
v = 9 ft / t

Let's calculate the time and average velocity.
Using the given values:
Weight (W) = 6672.33 N
Distance (d) = 9 ft
Power (P) = 8952 W

Calculating time (t):
t = (6672.33 N * 9 ft) / 8952 W

Calculating average velocity (v):
v = 9 ft / t

To calculate the time it takes for the motor to lift the elevator and its average velocity, we'll need to use some basic physics formulas.

First, let's calculate the time it takes for the motor to lift the elevator.

1. Convert the power of the motor from horsepower (hp) to watts (W):
- 1 hp = 745.7 W
- 12 hp = 12 * 745.7 W

2. The work done by the motor to lift the elevator is given by:
work = force * distance

To find the force, we need to convert the weight of the elevator from pounds to Newtons (N):
- 1 lb = 4.448 N
- 1500 lb = 1500 * 4.448 N

3. Now we can calculate the force using:
force = weight * gravity (where gravity is approximately 9.8 m/s^2)

4. Calculate the work done by multiplying the force by the distance:
work = force * distance

5. The power of the motor is given by:
power = work / time

Rearranging the formula, we get:
time = work / power

Now, let's calculate the average velocity of the elevator.

6. The formula to calculate average velocity is:
average velocity = total displacement / total time

In this case, the total displacement is the distance the elevator was lifted, which is given as 9 ft.

We already calculated the total time from the previous step.

Using these steps, we can now calculate the time it takes for the motor to lift the elevator and its average velocity.

Note: The calculation assumes ideal conditions and neglects factors such as friction and acceleration due to the lifting process.

Please provide the necessary values for conversion, such as the value of gravity and any other unit conversion factors required for the calculation.