Respuesta :
In the uniform circular motion, the speed and the radial acceleration remain constant during the motion and the tangential acceleration remains zero throughout the motion.
Explanation:
An object is considered to execute the uniform circular motion when it moves in a circular path of fixed radius at a constant speed throughout the motion.
The speed of the object remains constant during its motion but the velocity is not considered to be constant because the direction of speed of the particle change at every instant and due to change in direction, the velocity of the particle also changes at every instant.
The radial acceleration of the particle depends on the speed of the particle in circular motion and the radius of the circular path. The both quantities remain constant in uniform circular motion, so the radial acceleration will also remain constant.
The tangential acceleration is defined as the derivative of the tangential speed of the particle. In a uniform circular motion, the tangential speed remains constant so, the derivation of the speed will be zero. It means that the tangential acceleration remains zero during the motion.
Thus, In the uniform circular motion, the speed and the radial acceleration remain constant during the motion and the tangential acceleration remains zero throughout the motion.
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Answer Details:
Grade: High School
Subject: Physics
Chapter: Uniform circular motion
Keywords:
uniform circular motion, circular path, radius, constant speed, tangential velocity, radial acceleration, zero, tangential acceleration, change in direction.
In uniform circular motion, the quantities among the given options that are constant are;
Speed
Tangential Velocity
Radial Acceleration
Tangential Acceleration
Uniform circular motion is defined as the motion in a circular path at a constant speed.
Since speed is constant, then we can say that;
Angular acceleration; α = 0
Formula for tangential acceleration is; a_t = rα
Thus, tangential acceleration = 0 and constant
Tangential velocity is given by the formula; v_r = rω
r and ω are constant and as such tangential velocity is constant
Radial acceleration is given by the formula; a_c = rω²
Again, r and ω are constant and as such Radial acceleration is constant.
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