Rotational Inertia (Week 7)

Wednesday, 18 April 2018

10:58 PM

Untitled picture.png Machine generated alternative text: 1 m_lt of 2.00 quæt& m m The diagram above show's two masses, both with mass m = 569 kg, located r = 989 cm from the axis of rotatiom What is the moment of inertia, I for these masses in kgm2? Next page 11M Well done kg ml Untitled picture.png Machine generated alternative text: m_lt of 2.00 quæt& Previous page During the experiment you will measure the angular acceleration of different objects, pu will use this to work out the moment of inertia of these objects. In order calculate the moment of inertia, l, ofthese objects •pu will need to calculate the torque. To calculate the torque you will need to know the tension in the string.To calculate the tension pu vill need to know the linear acceleration of the hanging masses. rod and masses 3-step pulley clamp-on Super Pulley Stri ng support rod Mass hanger A hanging mass is attached to a string which is wound around a pulley The hanging mass is released from rest and falls to the ground causing the pulley to rotate. The diameter of the pulley is 4.3 mm, the angular acceleration is measured to be 37 rads-4 What is the linear acceleration of the hanging mass in ms-2? 0.0080 Next page  
Untitled picture.png Machine generated alternative text: m_lt of 2.00 quæt& rod and masses 3-step pulley clamp-on Super Pulley Stri ng support rod Mass hanger A hanging mass, m= 2851 g, is attached to a string that is wrapped around a pulley of diameter d = 6722 mm This is shown in the photo above. The hanging mass is released from rest As the mass falls the angular acceleration is measured to be 1.240 rads-2. The experiment is conducted in Sydney where the acceleration due to gravity is g = 9.797 ms-2. Calculate the tension in the string. 0.2781 To calculate the tension in the string you need to use the formula Tension = m(g-a). 𝑇=𝑚(𝑔−𝑎) 𝑎 = 𝑟×𝛼 𝑎 =﷐0.06722﷮2﷯× 1.240 T = m(g-a) 𝑇 =﷐28.51﷮1000﷯×(9.797 −﷐0.06722﷮2﷯×1.240) 𝑇 = 0.27812427583 𝑁 𝑇 = 0.2781 𝑁 𝑎 = 𝑟×𝛼 𝑇 = 0.2781 𝑁

 

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