Physics
18.05.2023 16:53
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An electric furnace runs 13 hours a day to heat a house during january (31 days).

An electric furnace runs 13 hours a day to heat a house during january (31 days). the heating element has a resistance of 7.2 and carries a current of 16.7 a. the cost of electricity is $0.10/kwh. find the cost of running the furnace during january.
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antschilt519
antschilt519
4,8(26 marks)

cost of running the furnace during January is $5619.62

Explanation:

given data

runs a day = 13 hours

January days = 31 days

resistance = 7.2 ohm

current = 16.7 A

cost of electricity = $0.10/kWh

to find out

cost of running the furnace during January

solution

first we get her power consumed by furnace that is

Power consumed = \frac{I^2}{R}  ........1

put here value we get

Power consumed = \frac{16.7^2}{7.2}

Power consumed = 38.7347 W

and

Power consumed by furnace in one hour is

Power consumed by furnace in one hour is = Power consumed × 3600

Power consumed by furnace in one hour is = 38.7347 × 3600  

Power consumed by furnace in one hour is 139.445kWh

and

Power consumed by furnace in the month of January is

Power consumed by furnace in the month of January = 139.445kWh × 13 hours × 31 days

Power consumed by furnace in the month of January = 56196.335 kWh

so

cost of running the furnace during January is = $0.10/kWh × 56196.335 kWh

cost of running the furnace during January is $5619.62

aylagwilliamson
aylagwilliamson
4,5(91 marks)

Distance = 360 mi= 579.36 Km

Explanation:

Time taken: 3.5 hrs

Speed: 120mi/HR

Now we know that

distance = speed x time

Substituting the given values in the above formula we get

Distance= 120mi/hr x 3 hrs

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