Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Another example of square-root relationships is the relation between the speed of a wave along a string under tension and the tension itself. Suppose you hold one end of a string and attach the other end to a wall. If you hold the string taut, and wiggle the free end up and down, a wave travels along the string. If the tension in the string is 9 N, the wave travels along the string at 6 m/s; if the tension in the string is 36 N, the wave speed along the string is 12 m/s. If the tension in the string is increased to 81 N , how fast will you expect a wave to travel along the string if you wiggle its free end

Sagot :

Cricetus

Answer:

The right answer is "18 m/s".

Explanation:

The given values are:

Velocity,

V = 6 m/s

Tension,

T = 9 N

As we know,

⇒  [tex]V=(\frac{T}{u})^{\frac{1}{2}}[/tex]

On substituting the given values, we get

⇒  [tex]6=(\frac{9}{u} )^{\frac{1}{2}}[/tex]

⇒  [tex]36=\frac{9}{u}[/tex]

⇒  [tex]u=\frac{9}{36}[/tex]

⇒     [tex]=\frac{1}{4}[/tex]

Now,

For 81 N the velocity will be:

⇒  [tex]v=(\frac{81}{(\frac{1}{4} )} )^{\frac{1}{2} }[/tex]

⇒     [tex]=18 \ m/s[/tex]

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.