Consider a wave exhibiting simple harmonic oscillation with a period of 6 s. If 4 s after the wave begins it exhibits a displacement of 0.5 m, what is the amplitude of the wave

A = 1.0m

Explanation:

In order to calculate the amplitude of the wave you take into account the general formula for a simple harmonic motion, which is given by:

      (1)

A: amplitude

x: position = 0.5m

t: time = 4s

w: angular frequency of the wave

You calculate the angular frequency of the wave by using the information about the period of the wave:

Next, you solve the equation (1) for A, and replace the values of the other parameters:

You take the absolute value of the amplitude.

The amplitude of the wave is 1.0 m

i had this question and the answer was 3.15 miles.

martina travels from school to her mom's office. from there, she walks to school. after school, she walks to the library and then to a friends house before finally ending back at home. find martina's total distance traveled.

a) 0 miles  

b) 0.4 miles  

c) 1 mile  

d) 3.15 miles