how much work can a 500 W electric mixer do in 2.50 min?
To find out how much work a 500 W electric mixer can do in 2.50 minutes, we first need to understand the concept of work and how it's measured.
Work is the amount of energy transferred by a force over a certain distance. It can be calculated using the formula: Work = Force × Distance × cos(θ), where θ is the angle between the force applied and the direction of the displacement.
In this case, the electric mixer applies a force to mix the ingredients. However, the distance traveled by the mixer is not given in the question. So, we need to make an assumption to calculate the work.
Let's assume that the electric mixer rotates at a constant speed, and the distance the mixer paddle travels in one revolution is approximately the circumference of its circular motion.
To calculate the distance traveled in one revolution, we use the formula: Distance = 2 × π × radius.
Next, we need to convert the time of 2.50 minutes into seconds, as work is usually measured in Joules (J), and time is typically measured in seconds.
2.50 minutes is equal to 2.50 × 60 = 150 seconds.
Now, let's calculate the distance traveled by the mixer paddle in one revolution. We need to know the radius of the mixer paddle, which is not mentioned in the question. Let's assume it to be 0.2 meters (you can adjust this value based on your understanding of the proportions).
Distance = 2 × π × 0.2 ≈ 1.26 meters.
With the distance calculated, we can now calculate the work done by the mixer using the formula mentioned earlier. Since the angle of displacement is not given, we will assume it to be zero (cos(0) = 1).
Work = Force × Distance × cos(θ).
Since cos(0) = 1, the formula simplifies to:
Work = Force × Distance.
The power of the electric mixer is given as 500 W (Watts).
Power is defined as the rate of doing work or transferring energy.
So, Power = Work / Time.
Since we are trying to find the work done, we rearrange the formula as:
Work = Power × Time.
Plugging in the given values:
Work = 500 × 2.50 = 1250 J (Joules).
Therefore, a 500 W electric mixer can do 1250 Joules of work in 2.50 minutes when the assumptions made are considered.