High School

What string tension would produce the same frequency on a smaller violin with a string length of 0.235 m if the linear density remains constant?

Answer :

If the linerar density stays constant, which it does when the string length is 0.235 meters, the same frequency would be produced by the same string tension of 41.58 N on a smaller violin.

f1=196 Hz

l1=0.33 m

t1=82N

Now f1=1/2l1√T1/μ

μ=4.9*10⁻³ kg/m

f2=f1=196 Hz

196=1/2*L₂√T₂/μ

T₂=41.58 N

In physics, tension is defined as the pulling force transmitted axially by a string, rope, chain, or similar object, or by each end of a rod, truss member, or similar three-dimensional object. Tension can also be defined as the action-reaction pair of forces acting at each end of the aforementioned elements.A force known as tension is particularly effective on medium-length materials like rope and cord that are also flexible. A gravitational force still exists in tension. When the body is moving upward, the tension is denoted by the formula T = W + ma.

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