Answer:

Explanation:
<u>Tangent and Angular Velocities</u>
In the uniform circular motion, an object describes the same angles in the same times. If
is the angle formed by the trajectory of the object in a time t, then its angular velocity is

if
is expressed in radians and t in seconds the units of w is rad/s. If the circular motion is uniform, the object forms an angle
in 2t, or
in 3t, etc. Thus the angular velocity is constant.
The magnitude of the tangent or linear velocity is computed as the ratio between the arc length and the time taken to travel that distance:

Replacing the formula for w, we have

5.08
hope you got it right !
What’s Brainlyest? Can you post a picture of the question or farther explain what (m>s) means?
Answer:
The tension force has a magnitude of 490 N, and acts vertically upward
Explanation:
The complete question is:
A 50kg chandelier hangs from a ceiling suspended by a cable. What is the Tension (magnitude and direction of the force) in the cable?
ANS:
Tension is the force applied axially by rope, chain, cable, rod, etc, as a reaction force. The direction of tension is always towards the support. Since, the support here, is ceiling.
Therefore, the direction of tension force will be <u>vertically upward</u><u>.</u>
Since the chandelier is hanging stationary, without any motion. Thus, there must not be any unbalanced force applied on it.
Hence, the tension force must be equal to the weight of chandelier.
Tension Force = Weight of Chandelier
T = W = mg
T = (50 kg)(9.8 m/s²)
<u>T = 490 N</u>
<u>Thus, the tension force has a magnitude of 490 N, and acts vertically upward</u>
Answer:
1.25 focal lengths
Explanation:
The lens equation states that:

where
f is the focal length
p is the object distance
q is the image distance
In this problem, the image is 4 times as far from the lens as is the object: this means that

If we substitute this into the lens equation and we rearrange it, we get

so, the object distance measured in focal lengths is
1.25 focal lenghts