Physics, 17.10.2019 23:30 hippocampus

We have a rod made of a certain metal. the rod’s length is l = 1.2 m and has a circular cross section with radius r= 3.8mm. if we hang the rod vertically and hang a mass of m = 22 kg at its end we find that it is stretched by d = 2.5 mm. (a) using the information given, estimate the young’s modulus for this metal rod, in n/m.
(b) if we know that this metal has a density of 12 g/cm^3, what would be the speed of sound in this metal in m/s?

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Answer from: Chewbacka2020

Y = 2.286 * $10^{9}$ ) N/m

V = 436.46 m/s

Explanation:

Length, L= 1.2 m

Radius, R=3.8 mm=3.8* $10^{-3}$

mass, m = 22 kg

Extension, ΔL = 2.5 mm

(a)

Forces P= mg =22*9.8 =215.6 N

Stress = P/A

= 215.6/[( $\pi$ (r)²]

Stress = ( 215.6 ) / [(3.14* (3.18* $10^{-3}$ )²]

Stress= 4.755 * $10^{6}$ N/m²

Strain in rod = ΔL/L = (2.5 * $10^{-3}$ )/(1.2)

=(2.08 * $10^{-3}$ )

Now, Toung midulus =Y= Stress/ Strain

=(4.755 * $10^{6}$ )/(2.08 * $10^{-3}$ )

=(2.286 * $10^{9}$ ) N/m

(b)

Density of metal = 12 g/ $cm^{3}$

= 12*10³ kg/m

Speed of sound in the metal=

v= $\sqrt{\frac{Y}{density} } = \sqrt{\frac{2.286*10^{9} }{12*10^{3} } }$

V=436.46 m/s

Answer from: Quest

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm. the wire diameter is d = 0.9 mm. the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2) in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

Answer from: Quest

answer: good job it's all correct !

explanation:

Iwill mark as the brainliest answer check if the answers are correct

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We have a rod made of a certain metal. the rod’s length is l = 1.2 m and has a circular cross sectio...

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