Current Attempt in Progress: Power Consumption and Energy Usage Calculation

Power Consumption and Energy Usage Calculation

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, while that of the vacuum cleaner is 4.6 A.

Determine the power consumed by:

(a) the blow-dryer

(b) the vacuum cleaner

(c) Determine the ratio of the energy used by the blow-dryer in 19 minutes to the energy used by the vacuum cleaner in 43 minutes.

Final answer:

The power consumed by the blow-dryer is 1320 W and for the vacuum cleaner it is 552 W. The energy used by the blow-dryer in 19 minutes to the energy used by the vacuum cleaner in 43 minutes is 1.056.

Explanation:

The power consumed by a device can be calculated by the formula P = IV, where P is Power, I is current in amperes, and V is the voltage.

(a) For the blow-dryer, its power P = IV = (11 A)(120 V) = 1320 W.

(b) For the vacuum cleaner, its power P = IV = (4.6 A)(120 V) = 552 W.

(c) The energy consumed by a device is the product of power and time. Therefore, the energy used by the blow-dryer in 19 minutes = Power * time = 1320W * 19 min * 60 s/min = 1504800 J.

For the vacuum cleaner, energy used in 43 minutes = 552 W * 43 min * 60 s/min = 1425120 J.

The ratio of the energy used by the blow-dryer to the energy used by the vacuum cleaner is therefore 1504800 J / 1425120 J = 1.056.

Current Attempt in Progress: Do you understand the concepts of power consumption and energy usage calculation? Yes, power consumption can be determined using the formula P = IV, and energy usage is the product of power and time. The ratio of energy used by different devices can be calculated by comparing the total energy consumed over a specific period.
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