<span> </span>For any prism-shaped geometry, the volume
(V) is assumed by the product of cross-sectional area (A) and height (h).
<span> V = Ah </span>
<span>
Distinguishing with respect to time gives the
relationship between the rates.
dV/dt = A*dh/dt</span>
<span> in the meantime the area is not altering </span>
<span>
dV/dt = π*(1 ft)^2*(-0.5 ft/min) </span>
<span>
dV/dt = -π/2 ft^3/min ≈ -1.571 ft^3/min
Water is draining from the tank at the rate of π/2
ft^3/min.</span>
43 years old is the life expectancy
Answer:
50.3 m/s²
Explanation:
Centripetal acceleration is:
a = v² / r
where v is velocity and r is radius.
First, calculate the velocity. Velocity is distance divided by time. The distance is the number of circumferences traveled by the ball.
v = x / t
v = (15.0 × 2π × 0.230 m) / 6.37 s
v = 3.40 m/s
Therefore:
a = (3.40 m/s)² / 0.230 m
a = 50.3 m/s²