Question

The Olympias is a reconstruction of a trireme, a type of Greek galley ship used over 2000 years ago. The power P (in kilowatts) needed to propel the Olympias at a desired speed s (in knots) can be modeled by this equation: P = 0.0289s3 A volunteer crew of the Olympias was able to generate a maximum power of about 10.5 kilowatts. What was their greatest speed? Start a New Thread

Answer 1

Answer:

7.13559 knots

Explanation:

Maximum power = 10.5 kilowatts

$P=0.0289s^3$

where,

P = Power in kilowatts

s = Desired speed in knots

Here, P = 10.5 kW

$10.5=0.0289s^3\\\Rightarrow s^3=\frac{10.5}{0.0289}\\\Rightarrow s=\left(\frac{10.5}{0.0289}\right)^{\frac{1}{3}}\\\Rightarrow s=7.13559\ knots$

The greatest speed of the Olympians was 7.13559 knots