An engineer wants to design a structure in which the difference in length between a steel beam and an aluminum beam remains at 0.550 m regardless of temperature, for ordinary temperatures. What must the length of the steel beam be?

The  length of the steel beam  is 1.058 m

Explanation:

coefficient of linear expansivity of Aluminum, = 25 x 10⁻⁶ ⁰C⁻¹

coefficient of linear expansivity of steel, =  12 x 10⁻⁶ ⁰C⁻¹

Change in length of aluminum; ΔL = **ΔT

Change in length of steel; ΔL = **ΔT

difference in length of Aluminum and steel;

- = 0.55 m, for this difference to remain constant, then ΔL = ΔL

From the equation above,     = 0.55 +

Since,  ΔL = ΔL, then  **ΔT = **ΔT

At constant temperature, the equation becomes;

* = *

Recall;

To calculate the length of the steel beam;

Therefore, the  length of the steel beam  is 1.058 m

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:

search it up!

explanation: