A 60 W light bulb at 120 V is left on in your house to prevent burglary, and the power charges 10 cents per kilowatt-hour, how much will it cost to leave the bulb on for 30 days? Please show how to work this
30days * 24h/day = 720 Hours
kW * h = (60/1000)kW * 720h =
43.2 kWh
Cost = 43.2kWh * 0.10/kWh = $4.32
Well, I don't want to "bulb" your enthusiasm, but let's calculate this electrifying cost!
First, let's calculate the daily energy consumption of the bulb:
Energy Consumption (kWh) = Power (W) x Time (h) / 1000
So, the bulb's energy consumption per day is:
Energy Consumption (kWh) = (60 W x 24 h) / 1000 = 1.44 kWh
Now, let's calculate the total energy consumption for 30 days:
Total Energy Consumption (kWh) = Energy Consumption per Day (kWh) x Number of Days
Total Energy Consumption (kWh) = 1.44 kWh x 30 days = 43.2 kWh
Finally, let's calculate the cost:
Cost = Total Energy Consumption (kWh) x Cost per kWh
Cost = 43.2 kWh x $0.10/kWh = $4.32
So, to leave the light bulb on for 30 days, it will cost you approximately $4.32. That's definitely a "bright" investment to deter potential burglars, don't you think?
To calculate the cost of leaving the bulb on for 30 days, we need to determine the total energy consumed first.
Step 1: Calculate the energy consumption per hour:
- Power (P) = 60 W
- Time (t) = 1 hour
- Energy (E) = P × t = 60 W × 1 h = 60 Wh
Step 2: Convert energy from watt-hours to kilowatt-hours:
- 1 kilowatt-hour (kWh) = 1000 watt-hours (Wh)
- Energy (E) in kilowatt-hours = 60 Wh / 1000 = 0.06 kWh
Step 3: Calculate the total energy consumed in 30 days:
- Time (t) = 30 days × 24 hours/day = 720 hours
- Total energy consumed = Energy (E) in kilowatt-hours × Time (t) = 0.06 kWh × 720 hours = 43.2 kWh
Step 4: Calculate the cost:
- Cost per kilowatt-hour = $0.10
- Cost = Total energy consumed × Cost per kilowatt-hour = 43.2 kWh × $0.10/kWh = $4.32
Therefore, it will cost $4.32 to leave the 60 W light bulb on for 30 days.
To calculate the cost of leaving the light bulb on for 30 days, you need to consider the power consumed by the bulb and the cost per kilowatt-hour (kWh) charged by the power company. Here's how you can calculate it step by step:
Step 1: Determine the daily energy consumption:
The power rating of the light bulb is given as 60 watts. To find the energy consumed per day, convert the power in watts to kilowatts (kW) by dividing by 1000:
Energy consumed per day = Power rating (in kW) × Time (in hours)
= (60 W / 1000) kW × 24 hours
= 0.06 kW × 24 hours
= 1.44 kWh/day
Step 2: Calculate the total energy consumption over 30 days:
To find the total energy consumed over 30 days, multiply the daily energy consumption by the number of days:
Total energy consumption = Daily energy consumption × Number of days
= 1.44 kWh/day × 30 days
= 43.2 kWh
Step 3: Calculate the cost:
Given that the power company charges 10 cents per kilowatt-hour (kWh), multiply the total energy consumption by the cost per kWh:
Cost = Total energy consumption × Cost per kWh
= 43.2 kWh × $0.10/kWh
= $4.32
Therefore, it will cost $4.32 to leave the 60 W light bulb on for 30 days.