Question

Several species of mollusks and clams produce a crystalline style, a cylindrical protrusion 5.00 mm in length and 0.800 mm in diameter, in their stomach to act as a capstan and aid in the digestion process. The style is rotated about its long axis at an average speed of 12.0 rpm, and typically dissolves after 2.00 h.

(a) What is the angular acceleration (in rad/s²) of the style if, starting from rest, it reaches a rotation speed of 12.0 rpm in 12.7 s?

(b) What is the angle (in rad) through which the style rotates to reach its final rotational speed after 12.7 seconds?

(c) What is the rotational kinetic energy (in J) of the 3.00 g style once it reaches its final rotational speed after 12.7 seconds?

Answer 1

per minute Angular velocity, Wz 12 apm= 12 revolutions to ups reveloutions per reund I revolution is 21 radians, 12 X 2 * 3.14 1-256 redian I see W = Wotat 1.2562 0 + LX1267 Angulat audlevetim, ao 1.256 12.7 = 0.099 led ad / we? (b) Angle, Oz Watt 1 at ² - 0 20x12.7+ 2 +0.099x 12.7² = 7.984 radians. Relational Kinetic Energy, KE 2 1 / 2 I w? = KE = bx man wat KE = [X0.003% (0.4x153) X 1.2562 4 KE 1.893 x 10° I.