15-110 PA2 Sample Solutions - Spring 2018

1.

def compute_rate(P,Q,n):
    return (Q/P)**(1/n) - 1

2. 

import math

def tetra_volume(edge_length):
    return (edge_length**3)/(6 * math.sqrt(2.0))

def print_volume():
    tetra1 = tetra_volume(15)
    tetra2 = tetra_volume(10)
    tetra3 = tetra_volume(20)  # 2 cm = 20 mm
    total = tetra1 + tetra2 + tetra3
    print("The total volume in cubic millimeters is ", end="")
    print(total)
    return None

3.

def compute_freq(freq_in_Hz, cents):
    new_freq = freq_in_Hz * 2**(cents/1200)
    return new_freq

def major_chord(root_freq):
    print(compute_freq(root_freq, 0))   # or just print(root_freq)
    print(compute_freq(root_freq, 400))
    print(compute_freq(root_freq, 700))
    return None

4.

def add_minutes(minute, m):
    return (minute + m) % 60

def add_hours(hour, h):
    return (hour - 1 + h) % 12 + 1