Auniform cylindrical steel wire (density: 7.8 x 103 kg/m3), 58.0 cm long and 1.34 mm in diameter, is fixed at both ends. to what tension must it be adjusted so that , when vibrating in its first overtone, it produces the note d-sharp of frequency 311 hz? assume that it stretches an insignificant amount. give an answer in n. pay attention to the number of significant figures.

T= 354.65 N

Explanation:

Given that

ρ= 7800 kg/m³

L= 58 cm

d=1.34 mm

f= 311 Hz

T= Tension

Speed of wave ,V

V = f λ      

V = f L

V= 311 x 0.58 m/s

V=180.38 m/s

Area of cross sectional

A= πr² mm²

A= 3.14 x 0.67² mm²

A=1.41 mm²

Mass = Density x Volume

m=0.0109 kg/m

Tension ,T

T= 0.0109 x 180.38² N

T= 354.65 N

the temperature in kelvin of 2.0 dm3 of an ideal gas is doubled and its pressure is increased by a factor of four. what is the final volume of the gas

answer: 31, 5556. 952 seconds