Respuesta :
The centripetal acceleration relations and Newton's second law we can find the results for the questions about the change in centripetal acceleration when changing the conditions of motion are:
A. The centripetal acceleration is: a = 43.5 m / s²
B. The radius is doubled, the centripetal acceleration is halved.
C. The force that creates the movement is called the centripetal force.
D. If the mass is doubled, the centripetal acceleration is halved.
Kinematics studies the motion of bodies, in the case of rotational motion, it looks for relationships between the angle, the angular velocity and the angular acceleration.
The centripetal acceleration of the body is
a = [tex]\frac{v^2 }{r}[/tex]
A. Indicate the velocity of the body v = 10 m/s and the radius of the circle r=2.30 m. Let's calculate the centripetal acceleration is:
a = [tex]\frac{10^2}{2.3}[/tex]
a = 43.5 m / s²
B. The radius is doubled, ask the change in acceleration
r₂ = 2 r₀
a₂ = [tex]\frac{v^2}{r_2}[/tex]
a₂ = [tex]\frac{v^2}{2 r_o}[/tex]
a₂ = ½ a₀
[tex]\frac{a_2}{a_o} = \frac{1}{2}[/tex]
Let's calculate
a₂ = ½ 43.5
a₂ = 21.75 m / s²
C. The force that maintains the movement is called the centripetal force and it was directed towards the center of the circle.
We use Newton's second law.
F = m a
F = 43.5 m
whera m is the body mass.
D. Question what happens to the acceleration centripetal if we double the mass.
We assume that the force applied by the athlete remains constant, let's write Newton's second law.
F = ma a
a = F / m
the mass is
m = 2 m₀
we substitute
a = [tex]\frac{F}{2m_o}[/tex]
a = ½ a₀
a = 21.75 m / s²
we see that doubling the mass the acceleration is reduced by half.
In conclusion, using the cenripetal acceleration relations and Newton's second law we can find the results for the questions about the change in centripetal acceleration when changing the conditions of motion are:
A. The centripetal acceleration is: a = 43.5 m / s²
B. The radius is doubled, the centripetal acceleration is halved.
C. The force that creates the movement is called the centripetal force.
D. If the mass is doubled, the centripetal acceleration is halved.
Learn more here: brainly.com/question/6082363
