A ceiling fan is switched on for 2 hours.Calculate the power, in watts, if the ceiling fan uses 345 600 J of energy in this time period.
Question
A ceiling fan is switched on for 2 hours.Calculate the power, in watts, if the ceiling fan uses 345 600 J of energy in this time period.
Solution 1
Sure, here's how you can calculate the power:
Step 1: Understand the formula for power. Power (P) is the rate at which energy is transferred or converted. It is usually measured in watts (W). The formula for power is:
P = E / t
where: P is power, E is energy, and t is time.
Step 2: Plug in the given values into the formula. In this case, E = 345,600 J (joules) and t = 2 hours. But the time t should be in seconds because the standard unit of time in this context is the second. There are 3600 seconds in an hour, so t = 2 * 3600 = 7200 seconds.
P = 345,600 J / 7200 s
Step 3: Do the division to find the power.
P = 48 W
So, the power of the ceiling fan is 48 watts.
Solution 2
Sure, here's how to calculate the power:
Step 1: Understand the formula for power. Power (P) is the rate at which energy is used or produced, and it's calculated by dividing the total energy used (E) by the time period (t) in which the energy was used. The formula is P = E/t.
Step 2: Plug in the given values into the formula. In this case, E = 345,600 J (joules) and t = 2 hours. But the standard unit of time in this formula is seconds, not hours. So you need to convert 2 hours into seconds. There are 3600 seconds in an hour, so 2 hours is 2 * 3600 = 7200 seconds.
Step 3: Now, substitute E = 345,600 J and t = 7200 s into the formula P = E/t. This gives you P = 345,600 J / 7200 s.
Step 4: Do the division to find the power. P = 345,600 J / 7200 s = 48 W (watts).
So, the power of the ceiling fan is 48 watts.
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