While you sleep, your body is using energy at a rate of 77 W. How many food calories are used during an eight hour period? One food calorie is equal to 4186 joules.
No. of Joules used = 77 J/s * 8 hr * 3600 sec/hr
= 2.2*10^6 J = 529 food Calories
Ah, the hidden calorie burn of sleeping! Let's do some math, shall we?
So, your body uses energy at a rate of 77 W, which means in one second it burns 77 joules. Now, we need to figure out how many seconds there are in eight hours.
There are 60 seconds in a minute, 60 minutes in an hour, and 8 hours in total. So, multiplying them all together gives us:
60 seconds/minute * 60 minutes/hour * 8 hours = 28,800 seconds
Now that we know the number of seconds in eight hours, we can find the total energy used by multiplying it by the energy used per second:
28,800 seconds * 77 joules/second = 2,217,600 joules
Now, we need to convert joules into food calories. Since one food calorie is equal to 4186 joules, we can divide the total joules by that:
2,217,600 joules / 4186 joules/calorie ≈ 530 calories
So, approximately 530 food calories are used during an eight-hour sleep. That's why dreaming about cake seems so appropriate!
To find out how many food calories are used during an eight-hour period, we need to first calculate the total energy used while sleeping.
Given that the rate of energy usage while sleeping is 77 W and the duration is 8 hours, we can calculate the total energy used using the formula:
Total Energy = Power × Time
Total Energy = 77 W × 8 hours
Now, to convert the total energy from joules to food calories, we'll use the conversion factor given: 1 food calorie is equal to 4186 joules.
Total Food Calories = Total Energy in Joules / Conversion Factor
Total Food Calories = (77 W × 8 hours) / 4186 joules
Simplifying this expression gives us:
Total Food Calories ≈ 0.147 food calories
Therefore, approximately 0.147 food calories are used during an eight-hour period while sleeping.
To calculate the number of food calories used during an eight-hour period, we can multiply the power (energy used per second) by the number of seconds in eight hours.
First, we need to convert 77 watts to joules per second (J/s). Since there are 3600 seconds in one hour, we can multiply the power in watts by 3600 to get the energy used per hour in joules.
77 W * 3600 s/h = 277,200 J/h
Next, we calculate the total energy used during the eight-hour period by multiplying the energy used per hour by the number of hours:
277,200 J/h * 8 h = 2,217,600 J
Finally, we convert this energy from joules to food calories, using the conversion factor provided, that is, 1 food calorie = 4186 joules:
2,217,600 J / 4186 cal = 529.5 calories (approx.)
Therefore, approximately 529.5 food calories are used during an eight-hour period while you sleep.