In uniform circular motion (circular motion at same speed), (tangential velocity)^2/radius = acceleration towards the center of the circle (centripetal acceleration)
<span>Also, radius is the distance to the center of the circle (track). </span>
<span>So, in your case, 15.4m/s^2 = (30.0m/s)^2/(radius) </span>
<span>radius = (900.m^2/s^2) / (15.4m/s^2) </span>
<span>radius = 58.4m</span>
Answer:
Step-by-step explanation:
We can subtract the first equation from the second to find the value of 
, although we can also do this vice versa.
Now, we can use substitution to solve for 
:
(pick any equation for substitution)
Hope this helps :)
Answer: Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. ... Subtract one and multiply the resulting number by 100 to give it a percentage representation.
Step-by-step explanation:
We have
(a + b)² = a² + 2ab + b²
so that with a = x² and b = 5, we have
x⁴ + 10x² + 25 = (x² + 5)²
Next, we have
a² - b² = (a - b) (a + b)
so that with a = x and b = √5 i,
x² + 5 = x² - (-5) = (x - √5 i) (x + √5 i)
So, the complete factorization over the complexes is
(x - √5 i)² (x + √5 i)²
