Mastering Simple Harmonic Motion Through Real-World Problem Solving

Frequency divided by 2π

1 divided by the frequency

2π times the square root of mass divided by the spring constant

2π times the square root of the spring constant divided by mass

Frequency is the reciprocal of the period

Frequency is twice the period

Frequency is the square of the period

Frequency is half the period

Force divided by mass

Force divided by displacement

Displacement divided by force

Mass times acceleration

8.51 Hz

3.18 Hz

50 Hz

25 Hz

It remains the same

It quadruples

It halves

It doubles

f2/f1 = k2/k1

f2/f1 = k1/k2

f2/f1 = (k2/k1)^2

f2/f1 = sqrt(k2/k1)

Phase angle

Angular frequency

Amplitude

Frequency

2π radians per second

0.65 radians per second

1.17 radians per second

7.35 radians per second

Mass divided by the square of angular frequency

Mass times angular frequency

Mass divided by angular frequency

Mass times the square of angular frequency

2.0 seconds

1.17 seconds

0.5 seconds

0.855 seconds