Exercise: Looping using for and range 3

3.7.3.3. Exercise: Looping using for and range 3#

Someone pushes a carriage using a dynamometer as shown in Fig. 3.8. The push force is measured in newtons every tenth of a second, during five seconds.

Fig. 3.8 Pushing a carriage using a dynamometer.#

push_force = [
    91.19, 99.22, 93.11, 91.76, 94.93, 96.54, 92.27, 96.01, 92.48,
    94.89, 91.55, 90.82, 97.91, 93.19, 95.65, 93.07, 93.65, 90.57,
    98.71, 99.97, 95.72, 96.27, 92.67, 93.4 , 98.84, 92.63, 97.03,
    93.93, 98.34, 95.82, 99.39, 99.29, 92.74, 90.29, 94.57, 90.69,
    93.16, 95.01, 93.16, 97.04, 97.23, 98.9 , 90.26, 97.46, 92.4 ,
    90.84, 97.39, 93.56, 97.47, 93.93
]

At the same time, a speed sensor reports the carriage speed in m/s, also every tenth of a second.

carriage_speed = [
    1.05, 1.08, 1.04, 1.09, 1.04, 1.06, 1.04, 1.05, 1.05, 1.05, 1.04,
    1.01, 1.09, 1.09, 1.05, 1.01, 1.06, 1.03, 1.08, 1.08, 1.09, 1.00,
    1.00, 1.00, 1.01, 1.05, 1.06, 1.03, 1.07, 1.02, 1.03, 1.07, 1.07,
    1.02, 1.04, 1.06, 1.00, 1.01, 1.00, 1.04, 1.08, 1.00, 1.02, 1.06,
    1.03, 1.06, 1.05, 1.01, 1.04, 1.00,
]

Write this function, knowing that power = force × speed:

def calculate_power(force, speed):
    """
    Calculate the power according to force and speed.

    Parameters
    ----------
    force : list[float]
        A list of forces in newtons.
    speed : list[float]
        A list of speeds in m/s. Its length must be the same as force.

    Returns
    -------
    list[float]
        A list of powers in watts.

    """

and use it to calculate the power developed by the person to push the carriage.

Hide code cell content
def calculate_power(force, speed):
    power = []  # Initialize the output list
    
    for i in range(len(force)):
        power.append(force[i] * speed[i])

    return power

# Test the function with the supplied data
calculate_power(push_force, carriage_speed)
[95.7495,
 107.1576,
 96.8344,
 100.01840000000001,
 98.72720000000001,
 102.3324,
 95.9608,
 100.8105,
 97.10400000000001,
 99.6345,
 95.212,
 91.72819999999999,
 106.7219,
 101.5771,
 100.4325,
 94.0007,
 99.269,
 93.2871,
 106.6068,
 107.9676,
 104.3348,
 96.27,
 92.67,
 93.4,
 99.8284,
 97.2615,
 102.85180000000001,
 96.74790000000002,
 105.22380000000001,
 97.73639999999999,
 102.3717,
 106.24030000000002,
 99.2318,
 92.09580000000001,
 98.3528,
 96.1314,
 93.16,
 95.96010000000001,
 93.16,
 100.92160000000001,
 105.00840000000001,
 98.9,
 92.0652,
 103.3076,
 95.17200000000001,
 96.2904,
 102.2595,
 94.4956,
 101.36880000000001,
 93.93]