Answer:
a) Power consumption rate = 409.5 KW
b) Time taken to reach 18 m/s = 42.86 s
Explanation:
a) Power is given by P = IV
where I = current drawn = 630 A
V = voltage = 650 V
P = 630 × 650 = 409500 W = 409.5 KW
b) Power is also given as P = Force × velocity
Force = ?
v = 18 m/s
Power = 95% of 409500 = 389025 W (95% efficiency)
Force = Power/velocity = 389025/18 = 21612.5 N
Force = mass × acceleration = 5.15 × 10⁴ × a
51500a = 21612.5
a = 21612.5/51500 = 0.42 m/s²
u = initial velocity = 0 m/s
v = final velocity = 18 m/s
a = 0.42 m/s²
t = ?
v = u + at
18 = 0 + 0.42t
t = 18/0.42 = 42.86 s
