What is the volume of an object that has Mass=100g and Density= 745g/mL.
1 answer:
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The acceleration of the particle as a function of time t is
The velocity of the particle at time t is the integral of the acceleration:
where the constant C can be found by requiring that the velocity at time t=0 is v=3:
and we find
so the velocity is
The position of the particle at time t is the integral of the velocity:
where D can be found by requiring that the initial position at time t=0 is zero:
x(0)=0
from which we find D=0, so
To solve the problem, now we just have to substitute t=5 into x(t) and v(t) to find the position and the velocity of the particle at t=5.
The position is:
and the velocity is:
The velocity of the particle at time t is the integral of the acceleration:
where the constant C can be found by requiring that the velocity at time t=0 is v=3:
and we find
so the velocity is
The position of the particle at time t is the integral of the velocity:
where D can be found by requiring that the initial position at time t=0 is zero:
x(0)=0
from which we find D=0, so
To solve the problem, now we just have to substitute t=5 into x(t) and v(t) to find the position and the velocity of the particle at t=5.
The position is:
and the velocity is:
The angular speed is decreasing and direction of rotation clockwise of the rod immediately after time t.
<h3></h3><h3>What is angular speed ?</h3>The rate of change of angular displacement is defined as angular speed. It is stated as follows:
ω = θ t
Where,
θ is the angle of rotation,
t is the time
ω is the angular velocity
The torque is found as;l
If the force is acting on the rod from the three point is the same, the value of the torque is depends upon the radius or the perpendicular distance.
The perpendicular distance of the right force is grater. Hence, the force acting on the right side is more, and the rod will rotate clockwise.
Both the forces are acting downwards. Thus, the resultant force is the less due to which the speed is increasing.
Hence, the angular speed is decreasing and direction of rotation clockwise of the rod immediately after time t.
To learn more about the angular speed, refer to the link;
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