Computer the power output in watt of a machine that lift a 50kg crete through a height of 20cm in 1minute
I will assume this is on Earth, with an acceleration due to gravity of 9.8 m/s/s. Force = mass * acceleration. A 50 kg mass therefore weighs 50 * 9.8 = 490 Newtons, which is the force required to lift the object. The energy required is force times distance, or 490 * 0.2 meters = 98 Joules. (All in the MKS system.) This energy was produced in a time interval of 60 seconds. Power = energy / time. So the power is 98 Joules / 60 seconds = 1.6333 Watts. (One Watt is defined as one Joule per second.)
Answer
ss 2
To calculate the power output of a machine that lifts a crate, we need to use the formula:
Power (P) = Work (W) / Time (t)
First, we need to calculate the work done, which can be found using the formula:
Work (W) = Force (F) x Distance (d) x cos(θ)
In this case, the force (F) can be calculated using the equation:
Force (F) = Mass (m) x Acceleration due to gravity (g).
Given:
Mass (m) = 50 kg
Acceleration due to gravity (g) = 9.8 m/s^2
Distance (d) = 0.2 m (20 cm)
Let's calculate the force:
F = 50 kg x 9.8 m/s^2
F = 490 N
Next, we can calculate the work done:
W = 490 N x 0.2 m x cos(θ)
W = 98 J (assuming the angle is 0° since it is not provided)
Now, we can calculate the power output:
Time (t) = 1 minute = 60 seconds
P = W / t
P = 98 J / 60 s
P ≈ 1.63 W
Therefore, the power output of the machine in this scenario is approximately 1.63 watts.
To calculate the power output of a machine, we can use the equation:
Power (P) = Work done (W) / Time taken (t)
First, let's find the work done. The work done can be calculated using the equation:
Work (W) = Force (F) x Distance (d)
The force (F) can be determined using Newton's second law of motion:
Force (F) = Mass (m) x Acceleration (a)
Acceleration due to gravity (g) is approximately 9.8 m/s².
Given:
Mass (m) = 50 kg
Distance (d) = 20 cm (which is equivalent to 0.2 meters)
Time (t) = 1 minute (which is equivalent to 60 seconds)
Let's calculate the force (F) first:
F = m x a
F = 50 kg x 9.8 m/s²
F = 490 N
Now, calculate the work done (W):
W = F x d
W = 490 N x 0.2 m
W = 98 Joules
Next, convert the time from minutes to seconds:
t = 1 minute = 60 seconds
Finally, calculate the power output (P):
P = W / t
P = 98 J / 60 s
P ≈ 1.63 Watts
Therefore, the machine's power output is approximately 1.63 watts.