Question

In: Mechanical Engineering

A 3-mm-diameter and 12-m-long electric wire is tightly wrapped with a 1.5-mm-thick plastic cover whose thermal...

A 3-mm-diameter and 12-m-long electric wire is tightly wrapped with a 1.5-mm-thick plastic cover whose thermal conductivity and emissivity are k 5 0.20 W/m·K and « 5 0.9. Electrical measurements indicate that a current of 10 A passes through the wire and there is a voltage drop of 7 V along the wire. If the insulated wire is exposed to calm atmospheric air at T` 5 30°C, determine the temperature at the interface of the wire and the plastic cover in steady operation. Take the surrounding surfaces to be at about the same temperature as the air. Evaluate air properties at a film temperature of 40°C and 1 atm pressure. Is this a good assumption?

Solutions

Expert Solution


Related Solutions

An electric wire having a diameter of 2.3 mm and covered with a plastic insulation of...
An electric wire having a diameter of 2.3 mm and covered with a plastic insulation of thickness 0.63 mm is exposed to air at 336 K and h= 32W/m2 K. It is assumed that the wire surface temperature is constant at 415 K and is not affected by the covering. Calculate the value of the critical radius. Calculate the heat loss per m of wire length with no insulation and heat loss with insulation being present. Data given: Plastic 0.4...
A 580-mm long tungsten wire, with a 0.046-mm-diameter circular cross section, is wrapped around in the...
A 580-mm long tungsten wire, with a 0.046-mm-diameter circular cross section, is wrapped around in the shape of a coil and used as a filament in an incandescent light bulb. When the light bulb is connected to a battery, a current of 0.526 A is measured through the filament. (Note: tungsten has a resistivity of 4.9 × 10-8 ? • m.) How many electrons pass through this filament in 5 seconds? How many electrons pass through this filament in 5...
a .25 mm diameter wire .2 m long is to be held at 1035 deg C....
a .25 mm diameter wire .2 m long is to be held at 1035 deg C. The wires surface is black. how much electrical power is required to maintain it's temp? The surrounding air and room are both at 20 deg C. The room is also assumed to be black . Find : Raleigh number, nusselt number, HTC and power required to maintain temperature.
A piano wire 0.90 m long and 0.85 mm in diameter is fixed on one end....
A piano wire 0.90 m long and 0.85 mm in diameter is fixed on one end. The other end is wrapped around a tuning peg 3.5 mm in diameter. Initially the wire, whose Young's modulus is 2.4×1010N/m2, has a tension of 30 N . Part A Find the tension in the wire after the tuning peg has been turned through one complete revolution. Express the tension in newtons to two significant figures. T = 166.16   N   SubmitPrevious AnswersRequest Answer Incorrect;...
A wire made from tungsten is 4.5 m long and 0.45 mm in diameter. What is...
A wire made from tungsten is 4.5 m long and 0.45 mm in diameter. What is its resistance at 1500°C?
A current carrying gold wire has diameter of 0.84 mm. the electric field in the wire...
A current carrying gold wire has diameter of 0.84 mm. the electric field in the wire is 0.49 V/m. What is a The current carried by the wire? b The potential difference between two points in the wire 6.4 m apart? c The resistance of a 6.4 m length of this wire.
At 130°C, a bronze hoop 20 mm thick whose inside diameter is 600 mm just fits...
At 130°C, a bronze hoop 20 mm thick whose inside diameter is 600 mm just fits snugly over a steel hoop 15 mm thick. Both hoops are 100 mm wide. Compute the contact pressure between the hoops when the temperature drops to 20°C. Neglect the possibility that the inner ring may buckle. For steel, E = 200 GPa and α = 11.7μm/(m.°C). For bronze, E = 83 GPa α = 19 μm/(m.°C)
At 130°C, a bronze hoop 20 mm thick whose inside diameter is 600 mm just fits...
At 130°C, a bronze hoop 20 mm thick whose inside diameter is 600 mm just fits snugly over a steel hoop 15 mm thick. Both hoops are 100 mm wide. Compute the contact pressure between the hoops when the temperature drops to 20°C. Neglect the possibility that the inner ring may buckle. For steel, E = 200 GPa and α = 11.7μm/(m.°C). For bronze, E = 83 GPa α = 19 μm/(m.°C) At 130°C, a bronze hoop 20 mm thick...
If the wire diameter decreases to 1 mm but the length is still 20 m and...
If the wire diameter decreases to 1 mm but the length is still 20 m and still carrying the same 20.0 A current, the drift speed of electrons will  (increase / decrease / stay the same), the current density will  (increase / decrease / stay the same), the resistivity of the wire will  (increase / decrease / stay the same), the resistance of the wire will  (increase / decrease / stay the same), the electric field inside the wire will  (increase / decrease / stay...
What is the resistance of a 2.9-m length of copper wire 1.4 mm in diameter?
What is the resistance of a 2.9-m length of copper wire 1.4 mm in diameter? The resistivity of copper is 1.68×10-8Ω⋅m.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT