Answer:
a ) 2.368 rad/s
b) 3.617 rad/s
Explanation:
the minimum angular velocity that Prof. Stefanovic needs to spin the bucket for the water not to fall out can be determined by applying force equation in a circular path
i.e
------ equation (1)
where;
Also
since; that is the initial minimum angular velocity to keep the water in the bucket
Now; we can rewrite our equation as :
So; Given that:
The rope that is attached to the bucket is lm long and his arm is 75 cm long.
we have our radius r = 1 m + 75 cm
= ( 1 + 0.75 ) m
= 1.75 m
g = acceleration due to gravity = 9.81 m/s²
Replacing our values into equation (2) ; we have:
b) if he detaches the rope and spins the bucket by holding it with his hand ; then the radius = 0.75 m
∴
Answer:
0.20 G
Explanation:
The given parameters are;
The magnetic field strength of planet X = 0.70 G
The location of a probe in relation to the vertical wire = 50 m
The measurement of a probe placed 50 mm east of a vertical wire = 0.50 G
The location of the probe = 20 mm east of the vertical wire
Based on the given parameter, the wire is a current carrying conductor with a magnetic field acting tangent to the magnetic field lines.
Given that the measured Earth magnetic field reduces, we have that the magnetic field of the wire cancels the magnetic field of the Earth
As the probe moves closer to the wire the measured magnetic field in the southern direction reduces
When the probe is placed 20 mm from the wire, the magnetic field reduces to 20/50 × 0.50 G = 0.20G
<span>Torque can be calculated by multiplying the force and the "perpendicular distance"
Hope this helps!</span>