Electrical Appliances Power Consumption Calculation

What are the power consumptions of the blow-dryer and the vacuum cleaner?

(a) How much power does the blow-dryer consume?

(b) How much power does the vacuum cleaner consume?

(c) What is the ratio of energy used by the blow-dryer in 19 minutes to the energy used by the vacuum cleaner in 48 minutes?

Answers:

(a) The power consumed by the blow-dryer is 1440 W.

(b) The power consumed by the vacuum cleaner is 708 W.

(c) The required ratio of energy used by the blow-dryer in 19 minutes to the energy used by the vacuum cleaner in 48 minutes is 0.805.

To calculate the power consumed by an electrical appliance, you can use the formula P = VI, where P is power, V is voltage, and I is current. The power consumption of the blow-dryer and vacuum cleaner are as follows:

(a) Power consumed by blow-dryer:

Given values: Voltage, V = 120 V, Current, I (blow-dryer) = 12 A

Substitute the values into the formula: P = 120 V x 12 A = 1440 W

Therefore, the power consumed by the blow-dryer is 1440 W.

(b) Power consumed by vacuum cleaner:

Given values: Voltage, V = 120 V, Current, I (vacuum cleaner) = 5.9 A

Substitute the values into the formula: P = 120 V x 5.9 A = 708 W

Therefore, the power consumed by the vacuum cleaner is 708 W.

(c) Ratio of energy used by blow-dryer in 19 minutes to energy used by vacuum cleaner in 48 minutes:

Energy consumed = Power x time

Calculate the energy consumed by each appliance and find the ratio, which is 0.805.