Given
m = 2000 kg
R = 250 m
v = 90 × \(\frac{5}{18}\)
v = 25 m/s
(a) Angular speed ω = \(\frac{\text{v}}{R}\)
\(= \frac{25}{250}\)
\(= \frac{1}{10}\)
= 0.1 rad/sec
(b) Centripetal acceleration = \(\frac{\text{v}^2}{R}\)
\(=\frac{25 \times 25}{250}\)
= 2.5 m/s2
(c) Centripetal force = \(\frac{M\text{v}^2}{R}\)
\(=\frac{2000 \times (25)^2}{250}\)
\(=\frac{2000 \times 25 \times 25}{250}\)
= 5000 N