In transporting a patient on a wheelchair up an inclined ramp at an angle of 20° with the horizontal ground, an attendant exerts a force of 1400N, resulting in a velocity of 2.5 m/s. Calculate the power produced by the attendant.
1400 * 2.5 = ? Watts
power = work (1400 N) / time (2.5 m/s)
power = 560 watt.
To calculate the power produced by the attendant, we can use the formula:
Power = Force x Velocity
Given:
Force (F) = 1400 N
Velocity (V) = 2.5 m/s
Therefore, the power (P) produced by the attendant can be calculated as:
P = F x V
P = 1400 N x 2.5 m/s
P = 3500 W
The power produced by the attendant is 3500 Watts.
To calculate the power produced by the attendant, we need to use the equation:
Power = Force x Velocity
First, we need to determine the component of the force applied by the attendant that acts parallel to the ramp. This force can be found by multiplying the total force by the cosine of the angle between the force and the ramp.
Force parallel to the ramp = Force x cos(angle)
Given that the force applied by the attendant is 1400N and the angle is 20°, we can calculate the force parallel to the ramp:
Force parallel to the ramp = 1400N x cos(20°)
Next, we multiply this component of the force by the velocity to calculate the power produced:
Power = Force parallel to the ramp x Velocity
Plugging in the values we've obtained:
Power = (1400N x cos(20°)) x 2.5 m/s
Now we can calculate this expression to find the power.