Answer:
Speed and direction affect pitch.
Answer:
Explanation:
Given
radius of path 
Velocity of Particle 
where t=time in seconds
angular velocity of particle is given by


And angular acceleration is given by


tangential acceleration is 

Centripetal acceleration 

net acceleration is sum of tangential and centripetal force at any time t is given by



Option C is the correct answer
Answer: 0.25 seconds.
Explanation:
The yo-yo does 240 revolutions in one minute, and we know that one minute has 60 seconds, then the revolutions per second can be calculated as:
240 rev/60s = 4 rev/s, this will be the frequency of the yo-yo
The frequency is actually written as: f = 4 Hz = 4 s^-1
We want to find the period of this yo-yo.
The period is the duration of one cycle, and we have the relation:
f = 1/T
Where f is the frequency and T is the period, then:
T = 1/f
And we know the value of f, it is f = 4 s^-1
Then the period will be:
T = 1/(4 s^-1) = (1/4) s
Then the period of the yo-yo is 1/4 seconds = 0.25 seconds.
Explanation:
It is known that the relation between speed and distance is as follows.
velocity = 
As it is given that velocity is 6 m/s and distance traveled by the bear is (d + 29). Therefore, time taken by the bear is calculated as follows.
............. (1)
As the tourist is running in a car at a velocity of 4.2 m/s. Hence, time taken by the tourist is as follows.
............. (2)
Now, equation both equations (1) and (2) equal to each other we will calculate the value of d as follows.
=
4.2d + 121.8 = 6d
d = 
= 67.66
Thus, we can conclude that the maximum possible value for d is 67.66.