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(Figure 1) shows the angular-velocity-versus-time graph for a particle moving in a circle. How many revolutions does the object make during the first 4 s?

Figure 1 Shows The Angularvelocityversustime Graph For A Particle Moving In A Circle How Many Revolutions Does The Object Make During The First 4 S class=

Sagot :

Answer: 10.34

Explanation:

Given

[tex]\omega -t[/tex] graph for a particle is given

angle turned by the particle in radians is given by the area under [tex]\omega -t[/tex] graph

The area is given by

[tex]A=20\times (2-0)+10(4-2)+\dfrac{1}{2}\times (20-10)\times (3-2)\\A=40+20+5=65\ rad[/tex]

Revolutions(N) made by the object is given by

[tex]N=\dfrac{65}{2\pi }=10.34[/tex]

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