For circular motion we know that
<span>F=ma=v^2/r </span>
<span>Therefore: </span>
<span>v = sqrt (rma) </span>
<span>Also, for cicular motion: </span>
<span>rev/min. = 60v/(2r*pi) </span>
<span>So your equation is: </span>
<span>rev./min = 60sqrt(rma)/(2pi*r) </span>
<span>For the mass (m) we can just use 1 kg.
</span>
rev./min = 60sqrt(730*1*9.8)/(2pi*730) =60sqrt(7154)/(4584.4)
rev./min = 60sqrt(7154)/(4584.4) =1.11 rev/min
<span>
the answer is </span>1.11 rev/min<span>
</span>
The severity of the seasons on Earth is given not by the distance Earth-Sun but by the tilt of the Earth axis. This happens because that the sun rays are oblique in winter and perpendicular in summer (thus the same quantity of sun rays heats a bigger surface in winter - oblique rays).
The present tild of the Earth axis is 23.5 degrees (from the vertical). If the axis were tilt at 157 degree this would be equivalent to 180-157 =23 degree. Thus the severity of the seasons would be approximately the same but the seasons would be reversed (for example instead of winter we would have summer, instead of summer we would have winter).
Answer:
57.885.8 kg weight of the container
Explanation:
The volume of the balloon * density of water = buoyant force of balloon
volume of a sphere = 4/3 pi r^3
= 4/3 pi * (1.5)^3 = 14.14 m^3 <===balloon volume
Now, find the buoyant force on the container ALONE ....
5.8 * 2.6 * 2.8 * 1027 = 43 364 kg <===== buoyant force
Now add the buoyant force of the balloon to find the weight
43 364 + 14.14 * 1027 = 57885.8 kg
Answer:
Hans is more powerful
Explanation:
Power: This can be defined as the rate at which work is done or energy is used up.
The expression for power is given as,
P = E/t
P = mgh/t................. Equation 1
Where P = power, W = Work, t = time, m = mass, h = height, g = acceleration due to gravity.
Hans' power
P = mgh/t
Given: m = 100 kg, h = 2 m, g = 9.8 m/s², t = 3 s
Substitute into equation 1
P = 100(9.8)(2)/3
P = 653.33 W.
Frans' power
P' = mgh/t
Given; m = 200 kg, h = 5 m, t = 20 s.
P' = 200(5)(9.8)/20
P' = 9800/20
P' = 490 W
from the above,
since P>P'
Hence, Hans is more powerful
Answer:
Part 1)

Part 2)

Part 3)

Part 4)
Since torque on right side is more so here it will turn and slip over it
Explanation:
As we know that the block A is placed at distance
d = 50 cm from the hinge at 70 cm mark
So torque due to weight of A is given as

the block B is placed at distance
d = 30 cm from the hinge at 70 cm mark
So torque due to weight of B is given as

Now torque due to weight of the scale is given as


now torque on left side of scale is given as


Torque on right Side is given as

Since torque on right side is more so here it will turn and slip over it