Question

for a particle having a uniform circular motion which of the following is constant 1) speed 2) acceleration 3) velocity 4) displacement ​

Answer 1

Answer:

For obvious reasons, it is the speed of the particle that'll remain constant in uniform circular motion.

Remember, the fact that displacement is the integral of velocity provided you've been given correct initial conditions as well as remember that acceleration is the first derivative of velocity and second derivative of the displacement however this is obvious since, the velocity is the first derivative of displacement, so these quantities are clearly not independent of each other.

So, if one gets a change, all the others obviously change.

Since, speed is the modulus of velocity, however, all displacement, velocity and acceleration being vector quantities, change their directions and hence a change occur as we say, because the particle follows it's circular trajectory.

Hope this helps you !

Answer 2

Answer:

$\bold\red{(1) Speed}$

Explanation:

$\bold\purple{Uniform\: Circular\:Motion}$

• It's the motion possessed by a body moving uniformly in a circular path.

• The locus of the path of the motion of any body in uniform circular motion is a circle.

• The speed is always constant as the term suggests uniform motion.

• The velocity has magnitude constant i.e., it's speed but the direction changes at each and every point.

• To conclude the direction of motion, draw a tangent on that point of circumference of the circle on which body is in motion.

• Clearly Velocity varies , and since acceleration is also the derivative of velocity, it also varies.

• Now, the displacement also varies as it's the integral of velocity, and it's range is from 0 to 2r, where, r is the Radius of that circular path.