An exercise machine indicates that you have worked off 2.1 calories in a minute and a half of running in place. What was your power output during this time? Give the answer in watts
To calculate power output, we need to use the formula:
Power = Work / Time
Given that you have worked off 2.1 calories in 1.5 minutes, we need to convert calories to joules. 1 calorie is equal to approximately 4.184 joules.
Let's perform the conversion:
Work = 2.1 calories * 4.184 joules/calorie
Work = 8.7764 joules
Next, we can calculate the power output:
Power = 8.7764 joules / 1.5 minutes
However, we need to convert minutes to seconds as watt is the unit of power in the International System of Units (SI):
Power = 8.7764 joules / (1.5 minutes * 60 seconds/minute)
Power = 0.0975178 joules/second
Since 1 watt is equal to 1 joule/second, we can convert the result to watts:
Power = 0.0975178 watts
Therefore, your power output during this time is approximately 0.098 watts.
To calculate power output, you need to use the formula:
Power = Energy / Time
In this case, the energy expended is given in calories, and the time is given in minutes. However, since power is typically measured in watts, we need to convert the energy from calories to joules and the time from minutes to seconds.
Step 1: Convert calories to joules
1 calorie = 4.184 joules
So, 2.1 calories = 2.1 * 4.184 joules = 8.7644 joules (approximately)
Step 2: Convert minutes to seconds
1 minute = 60 seconds
Thus, one and a half minutes would be 1.5 * 60 = 90 seconds.
Now we have the energy in joules (8.7644 joules) and the time in seconds (90 seconds).
Step 3: Calculate power
Power = Energy / Time
Power = 8.7644 joules / 90 seconds
Calculating the division, the power output during this time is approximately 0.0974 watts (rounded to four decimal places).