A weather vane initially at rest has a moment of inertia of 0.105 kg · m2 about

Question

A weather vane initially at rest has a moment of inertia of 0.105 kg · m2 about its axis of rotation. A 36.0 g piece of clay is thrown at the vane and sticks to it at a point 15.5 cm from the axis. The initial velocity of the clay is 13.0 m/s, directed perpendicular to the vane. Find the angular velocity of the weather vane just after it is struck. A weather vane initially at rest has a moment of inertia of 0.105 kg · m2 about its axis of rotation. A 36.0 g piece of clay is thrown at the vane and sticks to it at a point 15.5 cm from the axis. The initial velocity of the clay is 13.0 m/s, directed perpendicular to the vane. Find the angular velocity of the weather vane just after it is struck.

Explanation / Answer

Using law of conservation of angular momentum

(I1*w1 )+(m*v*r) = (I2*w2)

(0.105*0)+(36*10^-3*13*0.155) = (0.105+(36*10^-3*0.155^2))*w2

w2 = 0.685 rad/s is the final angular velocity

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.