Answer:
Both the frequency f and velocity v will increase.
When the radius reduces, the circumference of the circular path becomes smaller which means that more number of revolutions can be made per unit time as long as the force is kept constant; this is an increase in frequency.
Explanation:
The centripetal force acting on a mass in circular motion is given by equation (1);

where m is the mass of the object and r is radius of the circle. From equation one we see that the centripetal force is directly proportional to the square of the velocity and inversely proportional to the radius of the circular path.
However, according to the problem, the force is constant while the radius and the velocity changes. Therefore we can write the following equation;

Also recall that m is constant so it cancels out from both sides of equation (2). Therefore from equation we can write the following;

By observing equation (2) carefully, the ratio
will with the square root increase
since
is lesser than
.
Hence by implication, the value of
will be greater than
.
As the radius changes from
to
, the velocity also changes from
to
.
Answer:
Centripetal acceleration = 0.79 m/s²
Explanation:
<u>Given the following data;</u>
Radius, r = 2.6 km
Time = 360 seconds
<em><u>Conversion:</u></em>
2.6 km to meters = 2.6 * 1000 = 2600 meters
To find the magnitude of centripetal acceleration;
First of all, we would determine the circular speed of the car using the formula;
Where;
- r represents the radius and t is the time.
Substituting into the formula, we have;
Circular speed, V = 45.38 m/s
Next, we find the centripetal acceleration;
Mathematically, centripetal acceleration is given by the formula;
Where;
- V is the circular speed (velocity) of an object.
- r is the radius of circular path.
Substituting into the formula, we have;
<em>Centripetal acceleration = 0.79 m/s²</em>
The rays of the electromagnetic spectrum from shortest to longest wavelength are: radio waves, microwaves, infrared rays, optical rays, ultraviolet rays, X-rays, and gamma-rays.
EDIT: He has these backwards, the shortest wavelength is created by Gamma-Rays and the longest is Radiowaves.
<span> Remember- high energy = short wavelength. </span>