A microwave runs off a 110. V circuit and draws 7.00 A of current. How much water would
be required to run the microwave for 10.0 minutes if it is powered by a 10.0m high water
wheel?
I really don't this question nor know what exactly i'm suppose to be finding, please help
How many Joules are needed?
power = Vi = 110*7 = 770 watts
energy = power*time = 770*600seconds 462,000 JOULES needed
= m g h
= m (9.81)(10)
so
m = 4709 Kilograms of water
there are 1000 kg of water/meter^2
so
4.709 cubic meters of water
Sure, let's break down the problem step by step.
1. First, let's understand what is being asked. The question is asking how much water would be required to run the microwave for 10.0 minutes if it is powered by a 10.0 m high water wheel.
2. To determine how much water is required, we need to consider the power output of the water wheel and the power consumption of the microwave.
3. The power consumed by an electrical device can be calculated using the formula:
power (in watts) = voltage (in volts) × current (in amperes)
4. In this case, the microwave runs off a 110 V circuit and draws 7.00 A of current. So the power consumed by the microwave can be calculated as:
power = 110 V × 7.00 A
5. Now, we need to find the power output of the water wheel. Power can be calculated using the formula:
power (in watts) = gravitational potential energy (in joules) / time (in seconds)
6. The gravitational potential energy can be calculated using the formula:
gravitational potential energy (in joules) = mass (in kilograms) × acceleration due to gravity (approx. 9.8 m/s^2) × height (in meters)
7. In this case, the height of the water wheel is given as 10.0 m. Let's assume that the water wheel is 100% efficient, meaning it converts all the gravitational potential energy to electrical energy.
8. Therefore, the power output of the water wheel can be calculated as:
power = (mass × 9.8 × 10) / time
9. Finally, to find the amount of water required to run the microwave for 10.0 minutes, we need to equate the power consumed by the microwave to the power output of the water wheel.
10. Set the power consumed by the microwave equal to the power output of the water wheel and solve for mass:
(110 V × 7.00 A) = (mass × 9.8 × 10) / (10 minutes × 60 seconds/minute)
11. Solve the equation for mass to find the amount of water required.
I hope the explanation above helps you in understanding the problem and how to approach it.