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A blow-dryer and a vacuum cleaner each operate with a voltage of 120 V. The current rating of the blow-dryer is 11 A, and that of the vacuum
Question
A blow-dryer and a vacuum cleaner each operate with a voltage of 120 V. The current rating of the blow-dryer is 11 A, and that of the vacuum cleaner is 4.0 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 15 minutes to the energy used by the vacuum cleaner in one- half hour.
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Physics
4 years
2021-08-13T12:50:55+00:00
2021-08-13T12:50:55+00:00 1 Answers
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Answers ( )
Answer:
(a) P₁ = 1320 W
(b) P₂ = 480 W
(c)
Explanation:
(a)
The power consumed by the blow dryer can be calculated as follows:
where,
P₁ = Power Consumed by the blow dryer = ?
V = Voltage = 120 V
I = Current Rating of the blow dryer = 11 A
Therefore,
P₁ = 1320 W
(b)
The power consumed by the blow dryer can be calculated as follows:
where,
P₂ = Power Consumed by the vacuum cleaner = ?
V = Voltage = 120 V
I = Current Rating of the vacuum cleaner = 4 A
Therefore,
P₂ = 480 W
(c)
where,
E₁ = Energy used by the blow-dryer
E₂ = Energy used by the vacuum cleaner
t₁ = time of use of the blow-dryer = (15 min)(60 s/1 min) = 900 s
t₂ = time of use of the vacuum cleaner = (1.5 h)(3600 s/1 h) = 5400 s
Therefore,