The pitching of a ship in the ocean is an oscillatory periodic motion. A ship is pitching \(6^{\circ}\) above and \(6^{\circ}\) below with a period of \(20 \mathrm{~s}\) from its horizontal plane. Consider the following statements in this regard:

1). The motion has a frequency of oscillation (i.e. pitching) of 3 cycles/minute 2). The motion has an angular frequency of \(3.14 \mathrm{rad} / \mathrm{s}\)

3). The angular velocity of prescission of ship's rotor is \(\frac{\pi^{2}}{300} \mathrm{rad} / \mathrm{s}\)
4). The amplitude of pitching is \(\frac{\pi}{30} \mathrm{rad}\)
Which of these statements are correct?

(a) 1 and 2

(b) 1,2 , and 4

(c) 2,3 , and 4

(d) 1,3 , and 4 .