A brass rod 175.00 mm long and 5.00 mm in diameter extends horizontally from a casting at 200°C. The rod is in an air environment with [infinity] 20°C and 30 W/m2·K. What is the temperature of the rod 43.75, 87.50, and 175.00 mm from the casting?

(a) for  43.75 mm rod, the temperature is 121.97 ⁰C

(b) for  87.50 mm rod, the temperature is 80.17 ⁰C

(c) for  175.00 mm rod, the temperature is 53.46 ⁰C

Explanation:

Given;

L = 175 mm = 0.175 m

D = 5mm = 0.005

= 200°C

T∞ = 20°C

Heat transfer coefficient h = 30 W/m²·K

Thermal conductivity of brass K = 133 W/m.°C

where;

T is the temperature of the rod at different casting distance,

Part (a) for  43.75 mm rod

Part (b) for  87.50 mm rod

Part (c) for  175.00 mm rod

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:

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