Explanation:
It is given that,
Length of the helicopter, l = 3.1 m
The helicopter rotates, the length of helicopter will become the radius of circular path, r = 3.1 m
Angular speed of the helicopter, 
(a) The centripetal acceleration in terms of angular velocity is given by :



(b) Let v is the linear speed of the tip. The relation between the linear and angular speed is given by :


v = 90.89 m/s

Hence, this is the required solution.
Answer:
0.33 s
Explanation:
For this case, as the object is hung on the end of an unstretched spring, we can consider this system as a simple pendulum.
For this system, we can determine the period of the motion using the following formula:
T = 2π√(L/g)
Where: T = period (in sec), L = lenght of the spring, g = acceleration of garvity = 9.8 m/s²
By the exact time the object is 2.75 cm before coming to rest, that will be the lenght of the spring we can consider (2.75 cm = 0.0275 m)
Finally:
T = 2π√(0.00275/9.8)
T = 0.33 sec
The dimension of K is M/ T^2
according to the question T=2π square root ofm/k here 2 pi is constant so
T= root of m /k and root of k = root of m/ T now by squaring on both the sides we get the answer k= M/ T^2
complete question :
A spring is hanging down from the ceiling, and an object of mass m is attached to the free end. The object is pulled down, thereby stretching the spring, and then released. The object oscillates up and down, and the time T required for one complete up-and-down oscillation is given by the equation T=√2πm/k, where k is known as the spring constant. What must be the dimension of k for this equation to be dimensionally correct?
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Answer:
Approximately 6.8 x 10⁻¹⁵
Explanation:
To be able to get this fraction, there are some things we need to know.
1. The radius of nucleus = 1.0 x 10⁻¹³ cm
2. The radius of hydrogen atom = 52.9 pm
3. Volume of sphere = V1/V2 = (R1/R2)^3
4. 1 picometer (pm) = 10^-10 cm
CHECK ATTACHMENT FOR Step by step solution to the answer
Answer:
--->
Explanation:
1. Air Resistance- this is a type of frictional force that acts upon objects as they travel through air. It usually opposes the motion of an object and it is mathematically difficult to predict its value.
2. Gravity- the force of gravity is the force that the earth, and moon use to attract an object towards itself. The moon has far less gravity than earth. All objects on earth experience a force of gravity that pulls them downward, towards the center of the earth.
3. Tension- the tension force is the force that is transmitted through a string, rope, cable or wire when it is pulled from opposite ends. The tension force is directed along the length of the wire and pulls equally on the objects on the opposite ends of the wire
4. Friction- this is the force exerted by a surface when an object moves across it. Friction results from the two surfaces being pressed together closely.
5. Electromagnetic force- although they don't seem similar, electricity and magnetism are related. Flowing electrons produce magnetism, and a moving magnet produces electricity.
6. Upthrust- this is the upward force that a liquid or gas exerts on a body floating in it.
7. Spring force- The spring force is the force exerted by a compressed spring upon any object that is attached to it. This object is always acted upon by a force that restores the object to its rest or equilibrium position.
8. Applied force- An applied force is a force that is applied to an object by a person or another object.
9. Electrostatic force- The types of forces exerted by all electrically charged bodies on another charged bodies in the universe are ‘electrostatic forces’. They can be either positively or negatively charged.
10. Nuclear force- these are the forces that act between two or more nucleons. They bind protons and neutrons into atomic nuclei. The nuclear force is about 10 millions times stronger than the chemical binding that holds atoms together in molecules.