A uniform disc with radius 0.45m, initally at rest, rotatesabout its central ver

Question

A uniform disc with radius 0.45m, initally at rest, rotatesabout its central vertical axis with a constant angularacceleration of 2.2 rad/s^2 as it undergoes 3.5 revolutions. (i) calculate the final angular velocity of the disc (ii) if the mass of the disc is 2.9kg. calculate its finalangular momentum A uniform disc with radius 0.45m, initally at rest, rotatesabout its central vertical axis with a constant angularacceleration of 2.2 rad/s^2 as it undergoes 3.5 revolutions. (i) calculate the final angular velocity of the disc (ii) if the mass of the disc is 2.9kg. calculate its finalangular momentum

Explanation / Answer

r= 0.45m, = 2.2 rad / s2   Accoring to newton's equation of motion f2-i2= 2 Where f= final angular velocity,i= initial angular velocity, = angularacceleration, = angu;lar dispalcement covered in 3.5 revolutions = 7 Therefore f2= 2 x 2.2x 7   (taking iniial angular velocity as 0) f= 9.83 rad/s approx. b) Angular momentum = I Where I = moment of inertia = mr2/2 for disc I = (2.9 ) (0.45)2/2 = 2.93 Kg-m2approx Therefore Angular momentum = 2.93 x 9.83= 28.8 N-m-s Accoring to newton's equation of motion f2-i2= 2 Where f= final angular velocity,i= initial angular velocity, = angularacceleration, = angu;lar dispalcement covered in 3.5 revolutions = 7 Therefore f2= 2 x 2.2x 7   (taking iniial angular velocity as 0) f= 9.83 rad/s approx. b) Angular momentum = I Where I = moment of inertia = mr2/2 for disc I = (2.9 ) (0.45)2/2 = 2.93 Kg-m2approx Therefore Angular momentum = 2.93 x 9.83= 28.8 N-m-s

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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