A transverse wave travelling along a string has a form y=0.3sin pi (0.5z-50t) : obtain the wave length, 1. wave number, frequency, period and phase velocity?

2. find the max-transverse speed of any particle in the string. relate y=0.3sin pi (0.5z-50t) to y=asin (kz-wt) and y = acos (-kz-cot)

Question

Bryson Day

Social Studies

6 November, 12:13

A transverse wave travelling along a string has a form y=0.3sin pi (0.5z-50t) : obtain the wave length, 1. wave number, frequency, period and phase velocity?

2. find the max-transverse speed of any particle in the string. relate y=0.3sin pi (0.5z-50t) to y=asin (kz-wt) and y = acos (-kz-cot)

+2

Answers (1)

Know the Answer?

Eve Howell · Answer 1

0.5, 25/pi Hz, pi/25 seconds, 100 m/s

Explanation:

y=0.3sin pi (0.5z-50t)

wave number (k) = 0.5

2pift = 50t

f = 50/2pi

f = 25/pi Hz

T = 1/f = 1 : 25/pi

T = pi/25 seconds

2pi/lamda = 0.5

lamda = 2pi/0.5

lamda = 4pi m

Velocity = frequency*wavelength

= 25/pi * 4pi

= 100 m/s

A transverse wave travelling along a string has a form y=0.3sin pi (0.5z-50t) : obtain the wave length, 1. wave number, frequency, period and phase velocity?2. find the max-transverse speed of any particle in the string. relate y=0.3sin pi (0.5z-50t) to y=asin (kz-wt) and y = acos (-kz-cot)

A transverse wave travelling along a string has a form y=0.3sin pi (0.5z-50t) : obtain the wave length, 1. wave number, frequency, period and phase velocity?

2. find the max-transverse speed of any particle in the string. relate y=0.3sin pi (0.5z-50t) to y=asin (kz-wt) and y = acos (-kz-cot)