Respuesta :
Answer:
Explanation:
The tip of the second hand moves on a circular path having radius equal to .22 m . Redial acceleration is given by the expression
ω²R where ω is angular velocity and R is radius of the circular path .
angular velocity of second hand = 2π / T where T is time period of circular motion . For second hand it is 60 s.
ω = 2π / T
= 2π / 60
= .1047
angular acceleration = .1047² x .22
= 2.41 x 10⁻³ rad / s² .
So, the required radial acceleration is [tex]a=0.21 cm/s[/tex]
Acceleration:
The rate of change of velocity with respect to time.
Acceleration is a vector quantity.
The formula for the acceleration is,
[tex]a=\frac{V^2}{R}[/tex]
It is given that the radius is 22 cm
Now, substituting the given values into the above formula we get,
[tex]a=\frac{V^2}{22}[/tex]
Here, 1 second is equal to [tex]\frac{2\pi}{60}[/tex] then,
[tex]\\w=\frac{2\pi}{60}\\v=wR\\v=\frac{2\pi}{60}\times 19\\a=(\frac{2\pi}{60}\times 19)^2\times 19\\a=0.21 cm/s[/tex]
Learn more about the topic acceleration:
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