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Engineering Β· Unit 4 Β· Machines, mechanisms and control Β· Machines, mechanisms and control

Calculate to solve problems involving electrical power, using the formulas 𝑃 = 𝑉𝐼 𝐸 = 𝑃𝑑

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Question 1

A DC motor in a robotic arm operates at 24 V and draws a current of 3.5 A during a lifting operation. The motor runs continuously for 12 minutes. Which of the following correctly calculates the total electrical energy consumed by the motor?

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Question 2

A DC motor in a prototype electric vehicle operates at 48 V and draws a current of 12.5 A during constant-speed cruise on level ground. During a 45-minute commute, the motor operates under these conditions for 28 minutes. State the electrical power consumed by the motor during cruise, then calculate the total electrical energy consumed over the 28-minute operating period. Express your final answer in megajoules (MJ).

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Question 3

A solenoid valve used in an irrigation system is rated at 48 W and operates at 12 V. The valve is activated for a total of 5.0 minutes during a watering cycle. What is the total current drawn by the valve, and how much electrical energy does it consume?

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Question 4

An electric conveyor belt system in a warehouse operates at 240 V. The system's motor consumes 18,000 J of electrical energy during a 25-second loading cycle. What current does the motor draw during this cycle?

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Calculate to solve problems involving mechanical engineering concepts and principles, including - work (done) using the formula π‘Š = π‘“π‘œπ‘Ÿπ‘π‘’ Γ— π‘‘π‘–π‘ π‘π‘™π‘Žπ‘π‘’π‘šπ‘’π‘›π‘‘ (π‘‘π‘–π‘ π‘‘π‘Žπ‘›π‘π‘’ π‘šπ‘œπ‘£π‘’π‘‘ 𝑖𝑛 π‘‘π‘–π‘Ÿπ‘’π‘π‘‘π‘–π‘œπ‘› π‘œπ‘“ π‘“π‘œπ‘Ÿπ‘π‘’) = 𝐹 𝑠 - power (rate of doing work) using the formula 𝑃 = π‘€π‘œπ‘Ÿπ‘˜ π‘‘π‘œπ‘›π‘’ π‘‘π‘–π‘šπ‘’ π‘‘π‘Žπ‘˜π‘’π‘› = π‘Š 𝑑
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