Answer:
The angular speed of the object is 0.0281 rad/s
The linear speed of the object is 0.169 ft/s
Explanation:
Given;
radius of the circle, r = 6 ft
time of motion of the object around the circle, t = 80 s
central angle formed by the object during the motion, θ = 9/4 rad = 2.25 rad
The angular speed of the object is calculated as;

The linear speed of the object is calculated as;
v = ωr
v = 0.0281 rad/s   x    6ft
v = 0.169 ft/s
 
        
             
        
        
        
We know that arc length (x(t)) is given with the following formula:

Where r is the radius of the barrel. We must keep in mind that as barrel rolls its radius decreases because less and less tape is left on it.
If we say that the thickness of the tape is D then with every full circle our radius shrinks by d. We can write this down mathematically:

When we plug this back into the first equation we get:

We must solve this quadratic equation.
The final solution is:

It is rather complicated solution. If we asume that the tape has no thickness we get simply:
 
 
        
        
        
Answer:
A
Explanation:
I believe it is A because reflection is usually like a mirror or in water the other ones described are refraction or conversion. Hope this helps! :) 
 
        
             
        
        
        
Answer:162.516 gm
Explanation:
Given
Quartz contains 46.7 % silicon by mass
i.e.Silicon is 46.7 % by mass
Total mass of Quartz m=348 gm
46.7% of 348 gm
