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livigrace6866
02.10.2019 •
Physics
Athin rod has a length of 0.25 m and rotates in a circle on a frictionless tabletop. the axis is perpendicular to the length of the rod at one of its ends. the rod has an angular velocity of 0.29 rad/s and a moment of inertia of 1.30 10-3 kg · m2. a bug standing on the axis decides to crawl out to the other end of the rod. when the bug (mass = 4.2 10-3 kg) gets where it's going, what is the angular velocity of the rod?
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Ответ:
thin rod
→ length of 0.25 m
→ angular velocity of 0.29 rad/s
→ moment of inertia of 1.30 x 10⁻³ kg · m2
bug : mass = 4.2 x 10⁻³ kg
When the bug arrives at the end of the rod, it adds up to the initial inertia.
new inertia = 1.3 x 10⁻³ kg*m² + [4.2 x 10⁻³ kg*(0.25m)²]
new inertia = 1.5626 x 10⁻³
initial inertia * angular velocity = new inertia * angular velocity
1.30 x 10⁻³ kg*m² * 0.29 rad/s = 1.5626 x 10⁻³ * angular velocity
(1.30 x 10⁻³ kg*m² * 0.29 rad/s) / 1.5626 x 10⁻³ = angular velocity
0.24 rad/s = angular velocity
The angular velocity of the rod after the bug reach its end is 0.24 rad/s
Ответ:
-3=k
Step-by-step explanation:
First you have to remove the numbers that are in the side of the variable,by changing them with the opposite from both sides
26-5=5-7k-5
21=-7k
now you have to divide both sides by the number the variable is next to
21/-7=-7k/-7
-3=k