Final answer:
One watt is proven to be equal to 0.00134 horsepower by taking the reciprocal of the given 746 watts per one horsepower and converting the fraction into a decimal.
Step-by-step explanation:
To prove that 1 watt is equal to 0.00134 horsepower, we can use the given conversion that 1 horsepower (hp) is equal to 746 watts (W). We start by understanding the relationship between watts and horsepower.
To find how many horsepower are in one watt, we take the reciprocal of the 746 W that are in one horsepower:
1 hp / 746 W = 1 / 746 hp per W
So, 1 W is equal to 1/746 hp. Now, we simplify this fraction to a decimal to get the equivalent horsepower value for one watt. The calculation gives us:
1 W = 1/746 hp ≈ 0.001341022 hp
This can be rounded off to four decimal places, giving us:
1 W ≈ 0.00134 hp
This proves the equivalence between watts and horsepower, a common conversion in the context of power ratings for electric motors and energy consumption.