Speed when swinging from a rope?

In summary, Tarzan swings on a 23.8 m long vine initially inclined at an angle of 36° from the vertical. To determine his speed at the bottom of the swing, the equation 1/2 mv^2 = mgh can be used, where m is the mass of Tarzan, v is his speed, and h is the height at the bottom of the swing. For part (a), where Tarzan starts from rest, the potential energy at the top is equal to the kinetic energy at the bottom, resulting in a speed of 6.87 m/s. For part (b), where Tarzan starts with an initial speed of 2.22 m/s, the initial kinetic energy and potential energy
  • #1
Bigdane
14
0
Tarzan swings on a 23.8 m long vine initially inclined at an angle of 36° from the vertical.

(a) What is his speed at the bottom of the swing if he starts from rest?
m/s

(b) What is his speed at the bottom of the swing if he starts with an initial speed of 2.22 m/s?
m/s

help please!
i have no idea how to do this ah!
 
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  • #2
A)1/2 mv^2 = mgh
potential energy at the top = kinetic energy at the bottom of the pendulum.

B)1/2mv^2 + mgh = 1/2 mv^2
initial kinetic energy plus potential energy at the top = final kinetic energy at the bottom.
 
  • #3
how do i factor in the angle?
 
  • #4
the angle has nothing to do with the energy, only in finding the height.
 
  • #5
how do i use it to find the height?
 
  • #6
really basic trig.
 

What is the relationship between speed and the length of the rope?

The length of the rope does not affect the speed at which an object swings. However, a shorter rope may allow for a faster acceleration and deceleration, resulting in a higher speed at the bottom of the swing.

Does the weight of the object affect its speed while swinging from a rope?

Yes, the weight of an object does affect its speed while swinging from a rope. Heavier objects require more force to accelerate and decelerate, resulting in a slower speed compared to lighter objects.

How does the angle of the rope affect the speed of the swing?

The angle of the rope can affect the speed of the swing. A shallower angle will result in a slower swing, while a steeper angle will allow for a faster swing. This is because a steeper angle increases the force of gravity acting on the object, resulting in a faster acceleration.

Can the shape of the object affect its speed while swinging from a rope?

Yes, the shape of an object can affect its speed while swinging from a rope. Objects with a more aerodynamic shape will experience less air resistance, allowing for a faster swing compared to objects with a larger surface area.

How does the length of the swing affect the speed of the object?

The length of the swing can affect the speed of the object. A longer swing will allow for a higher speed at the bottom of the swing, while a shorter swing will result in a slower speed. This is because a longer swing allows for a longer distance for the object to accelerate and gain speed.

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