What is the speed of a wave with a frequency of 100 hz and a wave length of .5 m?

Explanation:

There are 2 ways to help with this. Explain the details, which are fairly simple in this topic, or give the formula. My hope is that an explanation will last longer than memorizing the formula. I give you both.

If a wave has frequency, f, of 3 Hz, its period, T, is

1

3

s

. The wavelength,

λ

, is 5 meters. That means that in the time of one period, the wave travels 5 m.

In general,

S

p

e

e

d

=

distance

time

In applying this general definition of speed

↑

to a wave, we have

speed of the wave

=

wavelength

period

Note: we generally use v for speed of a wave. Using the variable names, then that last formula is written

v

=

λ

T

Since

T

=

1

f

, we can also say that

v

=

λ

⋅

f

So, using that last formula

v

=

5

m

⋅

3

H

z

=

15

m

s

Note: the unit Hz is equivalent to what it was called 100 years ago,

cycles

second

(

also cps

)

. Cycles is not a true unit, so the Hz contributed only the "per second" to the result

15

m

s

.

the speed is =30ms^-1 The speed of a wave is given by "speed" (ms^-1)= "frequency(Hz)" xx "wavelength (m)" The frequency is f=100Hz The wavelength is lambda=0.3m The speed is v=lambdaf=0.3*100=30ms^-1

Explanation: