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A wheel rotates for 5sec with a constant angular acceleration and describe a displacement of 100radian, it is then rotates with a constant angular velocity in the next 5sec and describe a displacement of of 80 radians. Find 1) initial angular velocity. Answer (24rad/s)2) final angular velocity (16rad/s)3) angular acceleration of the wheel(1.6rad/s²)Hint: simultaneous equation.Please I just need a clear explanation of the equations to use. |
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Answer» As we know that the wheel rotate for 5 s with constant angular acceleration so we have θ \(=\frac{\omega+\omega_0}2t\) 100 \(=\frac{\omega+\omega_0}2(5)\) ω+ω0 = 40 now we know that after this it rotate with constant angular speed for t = 5 s so now we have θ = ωt 80 = ω(5) ω = 16 rad/s now we have 16+ω0 = 40 ω0 = 24 rad/s now angular acceleration is given as α \(=\frac{\omega+\omega_0}t\) α \(\frac{16-24}5\) α = -1.6 rad/s2 |
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