A 480 V battery pack is used to accelerate an electric car over a time interval of 9.5 s. If 1527 C of charge flow through the battery pack

Question

A 480 V battery pack is used to accelerate an electric car over a time interval of 9.5 s. If 1527 C of charge flow through the battery pack during this acceleration period, determine the horsepower of the car’s engine.

in progress 0
Xavia 4 years 2021-08-22T00:44:22+00:00 1 Answers 16 views 0

Answers ( )

  1. Calantha
    0
    2021-08-22T00:45:25+00:00
    Reply

    Answer:

    104 horsepower

    Explanation:

    Given:

    Voltage across the terminals of the battery (V) = 480 V

    Charge flowing through the battery pack (Q) = 1527 C

    Time interval for charge flow (Δt) = 9.5 s

    Now, current flowing through the battery pack is given as:

    I=\frac{Q}{\Delta t}\\\\I=\frac{1527\ C}{9.5\ s}\\\\I=160.74\ A

    Now, power of the car’s engine is calculated using the formula:

    Power,P=VI

    Plug in the given values and solve for ‘P’. This gives,

    P=(480\ V)(160.74\ A)\\\\P=77155.2\ W

    Now, 1 horsepower (hp) = 745.7 W

    Therefore, 1 W = \frac{1}{745.7}\ hp

    So, 77155.2\ W = \frac{77155.2}{745.7}=103.5\approx 104\ hp

    Hence, the horsepower of the car’s engine is approximately 104 horsepower

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )