uie cinarge Call be gI 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 = 37pound, 1= 25 cm, w= 5 cm, V=338 V and E=37kWh. Find the value of dimensionless constant G? 1.

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(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
in kWh, and n is the number of cells in the pack.
If n = 100, m = 37pound, 1= 25 cm, w= 5 cm, V=338 V and E=37kWh. Find the value
of dimensionless constant G?
the width of the cell in m, and E is the Energy of the cell
1.
(d) Using the charge capacity of the battery derived in c, use dimensional analysis techniques to:
Determine the dimensions of Q using only mass, length and time.
Determine|the equation that governs charging time of the battery.
If the charging current is 10 A. Find charging time assuming the values provided in c
are valid values for part d.
1.
2.
3.
Transcribed Image Text:(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 in kWh, and n is the number of cells in the pack. If n = 100, m = 37pound, 1= 25 cm, w= 5 cm, V=338 V and E=37kWh. Find the value of dimensionless constant G? the width of the cell in m, and E is the Energy of the cell 1. (d) Using the charge capacity of the battery derived in c, use dimensional analysis techniques to: Determine the dimensions of Q using only mass, length and time. Determine|the equation that governs charging time of the battery. If the charging current is 10 A. Find charging time assuming the values provided in c are valid values for part d. 1. 2. 3.
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