(b) The company is conducting set of experiments to maximize the time needed to discharg the battery. It was found that the time (t) is proportional to different powers of acceleration (a), mass (m), and energy (E) of the battery. Use dimensional homogeneity to find the formula of the time and the value of overall dimensionless proportional constant using t=24 hours, the voltage is 338 V, the Energy is 71 kWh, velocity is= 190
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Answer this question. Part (b) & (c).
![Task 1
The 96 prismatic lithium-ion battery cells were manufactured in Korea and the Scottish firm
Axeon assembled them into a 1411-pound, 338-volt pack that provides a 71-kWh energy
capacity and a claimed 190 miles of range [Note: replace D with your ID's last two digits].
(a)
1. What is the charge capacity of the battery?
2. What is the average current that the battery can deliver if it's used continuously for
20 hours?
3. Calculate the rate of energy consumption per meter (Joule/meter).
(b) The company is conducting set of experiments to maximize the time needed to discharge
the battery. It was found that the time (t) is proportional to different powers of
acceleration (a) mass (m), and energy (E) of the battery. Use dimensional homogeneity
to find the formula of the time and the value of overall dimensionless proportional
constant using t=24 hours, the voltage is 338 V, the Energy is 71 kWh, velocity is= 190
km/hr, and the mass is 1490-pound.
(c) Assume that the charge capacity of the battery can be given by the following formula:
Q = Gnm³V-21²w0.5. E²
Where m is the mass of the cell of the battery in kg, V is the voltage of the battery in volts,
l is the length of the cell in m, w is the width of the cell in m, and E is the Energy of the cell
in kWh, and n is the number of cells in the pack.
If n = 100, m = 90 pound, 1= 25 cm, w= 5 cm, V=338 V and E=90 kWh. Find the
1.
value of dimensionless constant G?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e32ffb9-6c7a-4eb8-9651-1f0f43eb94a1%2F6ff9c242-3e2f-4dde-92e4-bde563aae77a%2Foez482_processed.png&w=3840&q=75)
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