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A mass m = 3.5 kg is suspended from a string of length L = 1.47 m. It revolves in a horizontal circle. The tangential speed of the mass is 3.44 m/s. What is the angle theta between the string and the vertical (in degrees)?
The formula for finding the angle of a mass suspended and swung around is θ = arctan(L/g), where θ is the angle, L is the length of the string, and g is the acceleration due to gravity.
Yes, it is possible for the angle of a mass suspended and swung around to be greater than 90 degrees. This can occur when the length of the string is longer than the radius of the circle the mass is swinging in.
The mass of the object does not directly affect the angle of a suspended swing. However, it does affect the force of gravity acting on the object, which in turn affects the speed at which the object swings and the tension in the string. All of these factors can impact the angle of the suspended swing.
There is an inverse relationship between the length of the string and the angle of a suspended swing. This means that as the length of the string increases, the angle of the swing decreases, and vice versa.
If the acceleration due to gravity changes, the angle of a suspended swing will also change. This is because the angle is directly dependent on the acceleration due to gravity in the formula θ = arctan(L/g). A higher acceleration due to gravity will result in a larger angle, while a lower acceleration due to gravity will result in a smaller angle.