Math Problem Statement

how long will a 292 wh power bank last if powering a bubble machine with 88W, 1.1A @ 120V

Solution

To determine how long a 292 Wh (watt-hour) power bank will last when powering a bubble machine that uses 88 W, you can use this simple formula:

Time (hours)=Battery Capacity (Wh)Power Consumption (W)\text{Time (hours)} = \frac{\text{Battery Capacity (Wh)}}{\text{Power Consumption (W)}}

Step-by-step calculation:

  1. The power bank has a capacity of 292 Wh.
  2. The bubble machine consumes 88 W of power.

Now, applying the formula:

Time=292Wh88W=3.32hours\text{Time} = \frac{292 \, \text{Wh}}{88 \, \text{W}} = 3.32 \, \text{hours}

Result:

The 292 Wh power bank will last approximately 3.32 hours when powering a bubble machine that consumes 88 W.

Clarification:

The information about 1.1A @ 120V refers to the electrical current and voltage the machine draws, which gives us a power calculation confirmation: Power=V×I=120V×1.1A=132W\text{Power} = V \times I = 120 \, \text{V} \times 1.1 \, \text{A} = 132 \, \text{W} However, you provided that the machine runs on 88 W, so I assume you're working with that figure, which is lower. If 88 W is indeed accurate, the calculation holds at 3.32 hours.

Would you like more details or clarifications?

Related questions:

  1. How can I convert different units to calculate power consumption more accurately?
  2. What factors could affect the real-life duration of the power bank?
  3. How does a power bank's efficiency impact these kinds of calculations?
  4. Can I use the same formula for other appliances with different power ratings?
  5. What happens if the bubble machine’s actual power consumption fluctuates during use?

Tip:

When using power banks, always account for the efficiency losses (usually around 85-90%), which can slightly reduce the actual run time.

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Math Problem Analysis

Mathematical Concepts

Power Consumption
Battery Capacity
Unit Conversion

Formulas

Time (hours) = Battery Capacity (Wh) / Power Consumption (W)
Power (W) = Voltage (V) × Current (A)

Theorems

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Suitable Grade Level

Grades 8-10