JKOOKIECHIM6791 JKOOKIECHIM6791
  • 14-07-2021
  • Physics
contestada

A wheel accelerates from rest to 20 rad/s at a uniform rate of 3.5 rad/s2. Through what angle (in radians) did the wheel turn while accelerating

Respuesta :

okpalawalter8
okpalawalter8 okpalawalter8
  • 15-07-2021

Answer:

[tex]\theta=57.14rad[/tex]

Explanation:

From the question we are told that:

Angular Velocity [tex]\omega=20rad/s[/tex]

Acceleration [tex]a=3.5rads/s^2[/tex]

Generally the equation for Angular velocity is mathematically given by

[tex]\omega_2^2=\omega_1^2+2 a \theta[/tex]

Therefore

[tex]20^2=0+2*2.5*\theta[/tex]

[tex]\theta=\frac{400}{2*3.5}[/tex]

[tex]\theta=57.14rad[/tex]

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