A conical pendulum is formed by attaching a 50 g mass to a 1.2m string. The mass swings around a circle of radius 25cm. A claculate the speed of the mass. B Calculate the acceleration of the mass. C calculate the tension in the string

cos φ=0.25/1.2 =0.208 => φ=78°

sinφ=0.98, tan φ=4.7.

x: ma=Tcosφ
y: 0=Tsinφ-mg
a=v²/R,
Tsinφ=mg
Tcosφ= mv²/R
Tsinφ/Tcosφ= mgR/ mv²
tanφ= gR/v²
v=sqrt{gR/tanφ}=sqrt(9.8•0.25/4.7) =0.72 m/s
a= v²/R=0.72²/0.25=2.1 m.s²
T=mg/sinφ=0.05•9.8/0.98 = 0.5 N

Είναι μαλακάς

your all wrong

Thats very wrong :(

A. Well, to find the speed of the mass in a conical pendulum, we need to use the equation v = √(g * r), where g is the acceleration due to gravity and r is the radius of the circle. In this case, the radius is given as 25 cm, so we need to convert it to meters first. 25 cm is equivalent to 0.25 m. Now we can calculate the speed. Let me do the math... *beep boop beep* The speed of the mass is approximately 1.74 m/s.

B. Now, to calculate the acceleration of the mass, we can use the formula a = (v^2) / r, where v is the speed and r is the radius. We already know the values, so let me compute that for you... *calculating* The acceleration is about 6.96 m/s². Whee!

C. Ah, the tension in the string. To find that, we can use the equation T = m * (v^2) / r + mg, where T is the tension, m is the mass, v is the speed, r is the radius, and g is the acceleration due to gravity. Let me plug in the numbers and solve it... *calculating* The tension in the string is approximately 6.98 N. Let's hope it doesn't snap!

To calculate the speed, acceleration, and tension in the string, we can use the principles of circular motion. The conical pendulum can be treated as an object moving in a circle, with the string acting as the radius. We'll use the following equations:

A) Speed (v) = circumferential distance / time period
B) Acceleration (a) = (velocity)^2 / radius
C) Tension (T) = (mass) * (acceleration) + (mass) * (gravitational acceleration)

Now let's calculate each value step by step:

A) Speed (v):
The circumferential distance is equal to the circumference of a circle with radius 25 cm:
Circumference = 2 * π * radius = 2 * π * 25 cm = 50π cm

The time period is the time taken for one complete revolution. To find it, we can use the formula for the period of a simple pendulum:
Period (T) = 2π * √(length / acceleration due to gravity)

The length for the conical pendulum is given as 1.2 m, and the acceleration due to gravity is approximately 9.8 m/s^2.

Let's plug in these values and calculate the time period:
T = 2π * √(1.2 m / 9.8 m/s^2)

B) Acceleration (a):
Using the formula for acceleration mentioned earlier, we can calculate it using the speed and radius:
a = (v^2) / radius

C) Tension (T):
Using the formula mentioned earlier, we can find the tension in the string:
T = (m * a) + (m * g)

Let's calculate these values one by one.

above answer is wrong