A blow-dryer and a vacuum cleaner each operate with a voltage of 120 V. The current rating of the blow-dryer is 12 A, while that of the vacu

Question

A blow-dryer and a vacuum cleaner each operate with a voltage of 120 V. The current rating of the blow-dryer is 12 A, while that of the vacuum cleaner is 4.7 A. Determine the power consumed by (a) the blow-dryer and (b) the vacuum cleaner. (c) Determine the ratio of the energy used by the blow-dryer in 20 minutes to the energy used by the vacuum cleaner in 46 minutes.

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Dulcie 4 years 2021-08-18T22:34:02+00:00 1 Answers 18 views 0

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  1. Gerda
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    2021-08-18T22:35:27+00:00
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    Answer:

    a) 1450watts

    b) 564watts

    c) 1.11

    Explanation:

    Power consumed = IV

    I is the current rating

    V is the operating voltage

    If a blow-dryer and a vacuum cleaner each operate with a voltage of 120 V and the current rating of the blow-dryer is 12 A, while that of the vacuum cleaner is 4.7 A then their individual power rating is calculated thus;

    a) For blow-dryer

    Operating voltage = 120V

    Its current rating = 12A

    Power consumed = IV

    = 120×12

    = 1440watts

    b) For vacuum cleaner:

    Operating voltage is the same as that of blow dryer = 120V

    Its current rating = 4.7A

    Power consumed = IV

    = 120×4.7

    = 564watts

    c) Energy used = Power consumed × time taken

    Energy used = Power × time

    Energy used by blow dryer = 1440×20×60

    = 1,728,000Joules

    Energy used up by vacuum cleaner = 564×46×60

    = 564×2760

    = 1,556,640Joules

    Ratio of the energy used by the blow-dryer in 20 minutes to the energy used by the vacuum cleaner in 46 minutes will be 1,728,000/1,556,640 = 1.11

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