Giancoli Ch 15-23 Transverse wave on a string Set up parameters ...

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Giancoli Ch 15-23 Transverse wave on a string. Set up parameters with the given information. v .2 m sec. D0x ..0.45 m cos . .3 m 1 x. 1.2 x .. ,.0 m ..1 m .2π .3 m 1.
Giancoli Ch 15-23 Transverse wave on a string Set up parameters with the given information. 2.

v

m sec

0.45 . m . cos 3 . m 1 . x 2.π 0 . m , .1 . m .. 3.m 1

D0 x x

1.2

0.5

D0 x

0

0.5 0

1 x

2

The general formula for a wave is: D x, t k 2.

D M . cos k . x

π λ

ω.t

φ

ω 2.π .f

v λ.f Examining the formula we can see k=3m -1 and this gives us λ. Since we know v we can also get f and ω. k

3.m 1

λ

2.

f

v λ

π k

λ = 2.094 m

f = 0.955 Hz ω

2. π .f

φ

1.2

DM

0.35 . m Giancoli 15-23.mcd-1

02/13/02

D M . cos k . x

D right x , t

ω. t

φ

0.5

D right x , 1. sec

0

0.5 0

1 x

2

(d) For left going wave, everything is the same except a plus sign replaces the minus sign in the formula. D left x , t

D M . cos k . x

ω. t

φ

0.5

D left x , 1. sec D right x , 1. sec

0

0.5 0

1 x

2

Giancoli 15-23.mcd-2

02/13/02