Movimiento rectilíneo uniforme
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The document discusses various formulas and concepts related to kinematics including: - Formulas for uniform rectilinear motion, free fall motion, and accelerated motion. - Formulas for projectile motion including calculating the initial velocities in the x and y directions and time of flight. - Formulas for circular motion including angular velocity, tangential velocity, and centripetal acceleration. - Units and conversion factors for different force and motion measurement systems.
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Movimiento rectilíneo uniforme
- 1. Movimiento Rectilíneo Uniforme 𝑉 = 𝑠 𝑡 𝑠 = 𝑉𝑡 𝑡 = 𝑠 𝑉 M.R.U.V. Mov. Libre 𝑎⃑ = 𝑉 − 𝑉𝑜 𝑡 𝑡 = 𝑉 − 𝑉𝑜 𝑔⃑ 𝑉𝑜 = 𝑉 − 𝑎⃑𝑡 𝑡 = √ ℎ 5 𝑠 = 𝑉𝑜 𝑡 + 𝑎⃑ − 𝑡2 2 ℎ = 𝑉𝑜 𝑡 + 1 2 𝑔⃑ 𝑡2 2𝑎⃑𝑠 = 𝑉2 − 𝑉𝑜 2 𝑡 = 𝑉 − 𝑉𝑜 𝑔⃑ 𝑉 = 𝑉𝑜 + 𝑎⃑𝑡 ℎ = ( 𝑉 + 𝑉𝑜 2 )( 𝑉 − 𝑉𝑜 𝑔⃑ ) 𝑡 = 𝑉 − 𝑉𝑜 𝑎⃑ 𝑉 = 𝑉𝑜 + 𝑔⃑ 𝑡 𝑠 = ( 𝑉 + 𝑉𝑜 2 ) 𝑡 𝑉 = √ 𝑉𝑜 2 + 2𝑔⃑ℎ 2𝑔⃑ℎ = 𝑉2 − 𝑉𝑜 𝑔⃑ = 9.8 𝑚𝑡𝑠/𝑠𝑒𝑔2 𝑉𝑜 = √2𝑔⃑ℎ − 𝑉 𝑔⃑ = 32.2 𝑓𝑡/𝑠𝑒𝑔2 𝑉𝑜 = 𝑉 − 𝑔⃑ 𝑡 𝐶𝑎í𝑑𝑎 𝐿𝑖𝑏𝑟𝑒: 𝑉 𝑜 = 0 𝑔⃑ 𝐺𝑟𝑎𝑣𝑒𝑑𝑎𝑑 𝑝𝑜𝑠𝑖𝑡𝑖𝑣𝑎 (+) 𝑇𝑖𝑟𝑜 𝑉𝑒𝑟𝑡𝑖𝑐𝑎𝑙: 𝑉 = 0 𝑔⃑ 𝐺𝑟𝑎𝑣𝑒𝑑𝑎𝑑 𝑛𝑒𝑔𝑎𝑡𝑖𝑣𝑎 (−) Movimiento Compuesto (Tiro Parabólico) Fórmulas Básicas: 𝑎⃑ = ∆𝑉 ∆𝑡 𝑠 = ( 𝑉+𝑉𝑜 2 ) 𝑡 Puntos Encontrar Fórmulas para cada Punto "A" " 𝑉𝑜 𝑥 " y " 𝑉𝑜 𝑦 " 𝑉𝑜 𝑥 = (cos 𝜃)( 𝑉𝑜) 𝑉𝑜 𝑦 = (sin 𝜃)( 𝑉𝑜) "B" " 𝑡𝑠 " 𝑡𝑠 = 𝑉𝑦 − 𝑉𝑜 𝑦 𝑔⃑ = −𝑉𝑜 𝑦 −𝑔⃑ "C" " 𝑡𝑣 " y " 𝑅𝑥 " 𝑡𝑣 = 2( 𝑡𝑠) 𝑅𝑥 = (𝑉𝑜 𝑥 )( 𝑡𝑣) " ℎ 𝑚𝑎𝑥 " ℎ 𝑚𝑎𝑥 = ( 𝑉𝑦 + 𝑉𝑜 𝑦 2 ) 𝑡𝑠 = ( 𝑉𝑜 𝑦 2 ) 𝑡𝑠 Mov. Circular U. Dinámica 𝜔 = 𝜃 𝑡 = 𝑟𝑎𝑑 𝑠𝑒𝑔⁄ 𝑆. 𝐼. = ( 𝐾𝑔)( 𝑚 𝑠2⁄ ) = 𝑁𝑒𝑤𝑡𝑜𝑛 ( 𝑁) 𝜔 = 2𝜋 𝑇 = 𝑟𝑎𝑑 𝑠𝑒𝑔⁄ 𝐶. 𝐺. 𝑆. = ( 𝑔𝑟)( 𝑐𝑚 𝑠2⁄ ) = 𝐷𝑖𝑛𝑎 ( 𝐷) 𝜔 = 𝑉𝑡 𝑟 = 𝑟𝑎𝑑 𝑠𝑒𝑔⁄ 𝐼𝑁𝐺𝐿𝐸𝑆 = ( 𝑙𝑏)( 𝑓𝑡 𝑠2⁄ ) = 𝑃𝑜𝑢𝑛𝑑𝑒𝑙 ( 𝑃) 𝑉𝑡 = 2𝜋 𝑟 𝑇 = 𝑚𝑡𝑠 𝑠𝑒𝑔⁄ 𝐹⃑ = 𝑚 ( 𝑉 − 𝑉𝑜 𝑡 ) 𝑉𝑡 = 𝜔. 𝑟 = 𝑚𝑡𝑠 𝑠𝑒𝑔⁄ 𝑊 = 𝑚. 𝑔⃑ 𝑇 = 𝑡 𝑛 = 𝑠𝑒𝑔 𝑇 = 1 𝑓 = 𝑠𝑒𝑔 𝑓 = 1 𝑇 = 𝑟𝑒𝑣 𝑠𝑒𝑔⁄ 𝑜 𝐻𝑒𝑟𝑡𝑧 (𝐻𝑧) 𝑓 = 𝑛 𝑡 = 𝑟𝑒𝑣 𝑠𝑒𝑔⁄ 𝑜 𝐻𝑒𝑟𝑡𝑧 (𝐻𝑧) 𝑎 𝑐 = 𝑉𝑡 2 𝑟 = 𝑚 𝑠2⁄ 𝑎 𝑐 = 𝜔2 . 𝑟 = 𝑚 𝑠2⁄ 𝑎 𝑐 = 𝑚.𝑣2 𝑟
- 2. Movimiento Rectilíneo Uniforme 𝑉 = 𝑠 𝑡 𝑠 = 𝑉𝑡 𝑡 = 𝑠 𝑉 M.R.U.V. Mov. Libre 𝑎⃑ = 𝑉 − 𝑉𝑜 𝑡 𝑡 = 𝑉 − 𝑉𝑜 𝑔⃑ 𝑉𝑜 = 𝑉 − 𝑎⃑𝑡 𝑡 = √ ℎ 5 𝑠 = 𝑉𝑜 𝑡 + 𝑎⃑ − 𝑡2 2 ℎ = 𝑉𝑜 𝑡 + 1 2 𝑔⃑ 𝑡2 2𝑎⃑𝑠 = 𝑉2 − 𝑉𝑜 2 𝑡 = 𝑉 − 𝑉𝑜 𝑔⃑ 𝑉 = 𝑉𝑜 + 𝑎⃑𝑡 ℎ = ( 𝑉 + 𝑉𝑜 2 )( 𝑉 − 𝑉𝑜 𝑔⃑ ) 𝑡 = 𝑉 − 𝑉𝑜 𝑎⃑ 𝑉 = 𝑉𝑜 + 𝑔⃑ 𝑡 𝑠 = ( 𝑉 + 𝑉𝑜 2 ) 𝑡 𝑉 = √ 𝑉𝑜 2 + 2𝑔⃑ℎ 2𝑔⃑ℎ = 𝑉2 − 𝑉𝑜 𝑔⃑ = 9.8 𝑚𝑡𝑠/𝑠𝑒𝑔2 𝑉𝑜 = √2𝑔⃑ℎ − 𝑉 𝑔⃑ = 32.2 𝑓𝑡/𝑠𝑒𝑔2 𝑉𝑜 = 𝑉 − 𝑔⃑ 𝑡 𝐶𝑎í𝑑𝑎 𝐿𝑖𝑏𝑟𝑒: 𝑉 𝑜 = 0 𝑔⃑ 𝐺𝑟𝑎𝑣𝑒𝑑𝑎𝑑 𝑝𝑜𝑠𝑖𝑡𝑖𝑣𝑎 (+) 𝑇𝑖𝑟𝑜 𝑉𝑒𝑟𝑡𝑖𝑐𝑎𝑙: 𝑉 = 0 𝑔⃑ 𝐺𝑟𝑎𝑣𝑒𝑑𝑎𝑑 𝑛𝑒𝑔𝑎𝑡𝑖𝑣𝑎 (−) Movimiento Compuesto (Tiro Parabólico) Fórmulas Básicas: 𝑎⃑ = ∆𝑉 ∆𝑡 𝑠 = ( 𝑉+𝑉𝑜 2 ) 𝑡 Puntos Encontrar Fórmulas para cada Punto "A" " 𝑉𝑜 𝑥 " y " 𝑉𝑜 𝑦 " 𝑉𝑜 𝑥 = (cos 𝜃)( 𝑉𝑜) 𝑉𝑜 𝑦 = (sin 𝜃)( 𝑉𝑜) "B" " 𝑡𝑠 " 𝑡𝑠 = 𝑉𝑦 − 𝑉𝑜 𝑦 𝑔⃑ = −𝑉𝑜 𝑦 −𝑔⃑ "C" " 𝑡𝑣 " y " 𝑅𝑥 " 𝑡𝑣 = 2( 𝑡𝑠) 𝑅𝑥 = (𝑉𝑜 𝑥 )( 𝑡𝑣) " ℎ 𝑚𝑎𝑥 " ℎ 𝑚𝑎𝑥 = ( 𝑉𝑦 + 𝑉𝑜 𝑦 2 ) 𝑡𝑠 = ( 𝑉𝑜 𝑦 2 ) 𝑡𝑠 Mov. Circular U. Dinámica 𝜔 = 𝜃 𝑡 = 𝑟𝑎𝑑 𝑠𝑒𝑔⁄ 𝑆. 𝐼. = ( 𝐾𝑔)( 𝑚 𝑠2⁄ ) = 𝑁𝑒𝑤𝑡𝑜𝑛 ( 𝑁) 𝜔 = 2𝜋 𝑇 = 𝑟𝑎𝑑 𝑠𝑒𝑔⁄ 𝐶. 𝐺. 𝑆. = ( 𝑔𝑟)( 𝑐𝑚 𝑠2⁄ ) = 𝐷𝑖𝑛𝑎 ( 𝐷) 𝜔 = 𝑉𝑡 𝑟 = 𝑟𝑎𝑑 𝑠𝑒𝑔⁄ 𝐼𝑁𝐺𝐿𝐸𝑆 = ( 𝑙𝑏)( 𝑓𝑡 𝑠2⁄ ) = 𝑃𝑜𝑢𝑛𝑑𝑒𝑙 ( 𝑃) 𝑉𝑡 = 2𝜋 𝑟 𝑇 = 𝑚𝑡𝑠 𝑠𝑒𝑔⁄ 𝐹⃑ = 𝑚 ( 𝑉 − 𝑉𝑜 𝑡 ) 𝑉𝑡 = 𝜔. 𝑟 = 𝑚𝑡𝑠 𝑠𝑒𝑔⁄ 𝑊 = 𝑚. 𝑔⃑ 𝑇 = 𝑡 𝑛 = 𝑠𝑒𝑔 𝑇 = 1 𝑓 = 𝑠𝑒𝑔 𝑓 = 1 𝑇 = 𝑟𝑒𝑣 𝑠𝑒𝑔⁄ 𝑜 𝐻𝑒𝑟𝑡𝑧 (𝐻𝑧) 𝑓 = 𝑛 𝑡 = 𝑟𝑒𝑣 𝑠𝑒𝑔⁄ 𝑜 𝐻𝑒𝑟𝑡𝑧 (𝐻𝑧) 𝑎 𝑐 = 𝑉𝑡 2 𝑟 = 𝑚 𝑠2⁄ 𝑎 𝑐 = 𝜔2 . 𝑟 = 𝑚 𝑠2⁄ 𝑎 𝑐 = 𝑚.𝑣2 𝑟
- 3. Movimiento Rectilíneo Uniforme 𝑉 = 𝑠 𝑡 𝑠 = 𝑉𝑡 𝑡 = 𝑠 𝑉 M.R.U.V. Mov. Libre 𝑎⃑ = 𝑉 − 𝑉𝑜 𝑡 𝑡 = 𝑉 − 𝑉𝑜 𝑔⃑ 𝑉𝑜 = 𝑉 − 𝑎⃑𝑡 𝑡 = √ ℎ 5 𝑠 = 𝑉𝑜 𝑡 + 𝑎⃑ − 𝑡2 2 ℎ = 𝑉𝑜 𝑡 + 1 2 𝑔⃑ 𝑡2 2𝑎⃑𝑠 = 𝑉2 − 𝑉𝑜 2 𝑡 = 𝑉 − 𝑉𝑜 𝑔⃑ 𝑉 = 𝑉𝑜 + 𝑎⃑𝑡 ℎ = ( 𝑉 + 𝑉𝑜 2 )( 𝑉 − 𝑉𝑜 𝑔⃑ ) 𝑡 = 𝑉 − 𝑉𝑜 𝑎⃑ 𝑉 = 𝑉𝑜 + 𝑔⃑ 𝑡 𝑠 = ( 𝑉 + 𝑉𝑜 2 ) 𝑡 𝑉 = √ 𝑉𝑜 2 + 2𝑔⃑ℎ 2𝑔⃑ℎ = 𝑉2 − 𝑉𝑜 𝑔⃑ = 9.8 𝑚𝑡𝑠/𝑠𝑒𝑔2 𝑉𝑜 = √2𝑔⃑ℎ − 𝑉 𝑔⃑ = 32.2 𝑓𝑡/𝑠𝑒𝑔2 𝑉𝑜 = 𝑉 − 𝑔⃑ 𝑡 𝐶𝑎í𝑑𝑎 𝐿𝑖𝑏𝑟𝑒: 𝑉 𝑜 = 0 𝑔⃑ 𝐺𝑟𝑎𝑣𝑒𝑑𝑎𝑑 𝑝𝑜𝑠𝑖𝑡𝑖𝑣𝑎 (+) 𝑇𝑖𝑟𝑜 𝑉𝑒𝑟𝑡𝑖𝑐𝑎𝑙: 𝑉 = 0 𝑔⃑ 𝐺𝑟𝑎𝑣𝑒𝑑𝑎𝑑 𝑛𝑒𝑔𝑎𝑡𝑖𝑣𝑎 (−) Movimiento Compuesto (Tiro Parabólico) Fórmulas Básicas: 𝑎⃑ = ∆𝑉 ∆𝑡 𝑠 = ( 𝑉+𝑉𝑜 2 ) 𝑡 Puntos Encontrar Fórmulas para cada Punto "A" " 𝑉𝑜 𝑥 " y " 𝑉𝑜 𝑦 " 𝑉𝑜 𝑥 = (cos 𝜃)( 𝑉𝑜) 𝑉𝑜 𝑦 = (sin 𝜃)( 𝑉𝑜) "B" " 𝑡𝑠 " 𝑡𝑠 = 𝑉𝑦 − 𝑉𝑜 𝑦 𝑔⃑ = −𝑉𝑜 𝑦 −𝑔⃑ "C" " 𝑡𝑣 " y " 𝑅𝑥 " 𝑡𝑣 = 2( 𝑡𝑠) 𝑅𝑥 = (𝑉𝑜 𝑥 )( 𝑡𝑣) " ℎ 𝑚𝑎𝑥 " ℎ 𝑚𝑎𝑥 = ( 𝑉𝑦 + 𝑉𝑜 𝑦 2 ) 𝑡𝑠 = ( 𝑉𝑜 𝑦 2 ) 𝑡𝑠 Mov. Circular U. Dinámica 𝜔 = 𝜃 𝑡 = 𝑟𝑎𝑑 𝑠𝑒𝑔⁄ 𝑆. 𝐼. = ( 𝐾𝑔)( 𝑚 𝑠2⁄ ) = 𝑁𝑒𝑤𝑡𝑜𝑛 ( 𝑁) 𝜔 = 2𝜋 𝑇 = 𝑟𝑎𝑑 𝑠𝑒𝑔⁄ 𝐶. 𝐺. 𝑆. = ( 𝑔𝑟)( 𝑐𝑚 𝑠2⁄ ) = 𝐷𝑖𝑛𝑎 ( 𝐷) 𝜔 = 𝑉𝑡 𝑟 = 𝑟𝑎𝑑 𝑠𝑒𝑔⁄ 𝐼𝑁𝐺𝐿𝐸𝑆 = ( 𝑙𝑏)( 𝑓𝑡 𝑠2⁄ ) = 𝑃𝑜𝑢𝑛𝑑𝑒𝑙 ( 𝑃) 𝑉𝑡 = 2𝜋 𝑟 𝑇 = 𝑚𝑡𝑠 𝑠𝑒𝑔⁄ 𝐹⃑ = 𝑚 ( 𝑉 − 𝑉𝑜 𝑡 ) 𝑉𝑡 = 𝜔. 𝑟 = 𝑚𝑡𝑠 𝑠𝑒𝑔⁄ 𝑊 = 𝑚. 𝑔⃑ 𝑇 = 𝑡 𝑛 = 𝑠𝑒𝑔 𝑇 = 1 𝑓 = 𝑠𝑒𝑔 𝑓 = 1 𝑇 = 𝑟𝑒𝑣 𝑠𝑒𝑔⁄ 𝑜 𝐻𝑒𝑟𝑡𝑧 (𝐻𝑧) 𝑓 = 𝑛 𝑡 = 𝑟𝑒𝑣 𝑠𝑒𝑔⁄ 𝑜 𝐻𝑒𝑟𝑡𝑧 (𝐻𝑧) 𝑎 𝑐 = 𝑉𝑡 2 𝑟 = 𝑚 𝑠2⁄ 𝑎 𝑐 = 𝜔2 . 𝑟 = 𝑚 𝑠2⁄ 𝑎 𝑐 = 𝑚.𝑣2 𝑟
- 4. Movimiento Rectilíneo Uniforme 𝑉 = 𝑠 𝑡 𝑠 = 𝑉𝑡 𝑡 = 𝑠 𝑉 M.R.U.V. Mov. Libre 𝑎⃑ = 𝑉 − 𝑉𝑜 𝑡 𝑡 = 𝑉 − 𝑉𝑜 𝑔⃑ 𝑉𝑜 = 𝑉 − 𝑎⃑𝑡 𝑡 = √ ℎ 5 𝑠 = 𝑉𝑜 𝑡 + 𝑎⃑ − 𝑡2 2 ℎ = 𝑉𝑜 𝑡 + 1 2 𝑔⃑ 𝑡2 2𝑎⃑𝑠 = 𝑉2 − 𝑉𝑜 2 𝑡 = 𝑉 − 𝑉𝑜 𝑔⃑ 𝑉 = 𝑉𝑜 + 𝑎⃑𝑡 ℎ = ( 𝑉 + 𝑉𝑜 2 )( 𝑉 − 𝑉𝑜 𝑔⃑ ) 𝑡 = 𝑉 − 𝑉𝑜 𝑎⃑ 𝑉 = 𝑉𝑜 + 𝑔⃑ 𝑡 𝑠 = ( 𝑉 + 𝑉𝑜 2 ) 𝑡 𝑉 = √ 𝑉𝑜 2 + 2𝑔⃑ℎ 2𝑔⃑ℎ = 𝑉2 − 𝑉𝑜 𝑔⃑ = 9.8 𝑚𝑡𝑠/𝑠𝑒𝑔2 𝑉𝑜 = √2𝑔⃑ℎ − 𝑉 𝑔⃑ = 32.2 𝑓𝑡/𝑠𝑒𝑔2 𝑉𝑜 = 𝑉 − 𝑔⃑ 𝑡 𝐶𝑎í𝑑𝑎 𝐿𝑖𝑏𝑟𝑒: 𝑉 𝑜 = 0 𝑔⃑ 𝐺𝑟𝑎𝑣𝑒𝑑𝑎𝑑 𝑝𝑜𝑠𝑖𝑡𝑖𝑣𝑎 (+) 𝑇𝑖𝑟𝑜 𝑉𝑒𝑟𝑡𝑖𝑐𝑎𝑙: 𝑉 = 0 𝑔⃑ 𝐺𝑟𝑎𝑣𝑒𝑑𝑎𝑑 𝑛𝑒𝑔𝑎𝑡𝑖𝑣𝑎 (−) Movimiento Compuesto (Tiro Parabólico) Fórmulas Básicas: 𝑎⃑ = ∆𝑉 ∆𝑡 𝑠 = ( 𝑉+𝑉𝑜 2 ) 𝑡 Puntos Encontrar Fórmulas para cada Punto "A" " 𝑉𝑜 𝑥 " y " 𝑉𝑜 𝑦 " 𝑉𝑜 𝑥 = (cos 𝜃)( 𝑉𝑜) 𝑉𝑜 𝑦 = (sin 𝜃)( 𝑉𝑜) "B" " 𝑡𝑠 " 𝑡𝑠 = 𝑉𝑦 − 𝑉𝑜 𝑦 𝑔⃑ = −𝑉𝑜 𝑦 −𝑔⃑ "C" " 𝑡𝑣 " y " 𝑅𝑥 " 𝑡𝑣 = 2( 𝑡𝑠) 𝑅𝑥 = (𝑉𝑜 𝑥 )( 𝑡𝑣) " ℎ 𝑚𝑎𝑥 " ℎ 𝑚𝑎𝑥 = ( 𝑉𝑦 + 𝑉𝑜 𝑦 2 ) 𝑡𝑠 = ( 𝑉𝑜 𝑦 2 ) 𝑡𝑠 Mov. Circular U. Dinámica 𝜔 = 𝜃 𝑡 = 𝑟𝑎𝑑 𝑠𝑒𝑔⁄ 𝑆. 𝐼. = ( 𝐾𝑔)( 𝑚 𝑠2⁄ ) = 𝑁𝑒𝑤𝑡𝑜𝑛 ( 𝑁) 𝜔 = 2𝜋 𝑇 = 𝑟𝑎𝑑 𝑠𝑒𝑔⁄ 𝐶. 𝐺. 𝑆. = ( 𝑔𝑟)( 𝑐𝑚 𝑠2⁄ ) = 𝐷𝑖𝑛𝑎 ( 𝐷) 𝜔 = 𝑉𝑡 𝑟 = 𝑟𝑎𝑑 𝑠𝑒𝑔⁄ 𝐼𝑁𝐺𝐿𝐸𝑆 = ( 𝑙𝑏)( 𝑓𝑡 𝑠2⁄ ) = 𝑃𝑜𝑢𝑛𝑑𝑒𝑙 ( 𝑃) 𝑉𝑡 = 2𝜋 𝑟 𝑇 = 𝑚𝑡𝑠 𝑠𝑒𝑔⁄ 𝐹⃑ = 𝑚 ( 𝑉 − 𝑉𝑜 𝑡 ) 𝑉𝑡 = 𝜔. 𝑟 = 𝑚𝑡𝑠 𝑠𝑒𝑔⁄ 𝑊 = 𝑚. 𝑔⃑ 𝑇 = 𝑡 𝑛 = 𝑠𝑒𝑔 𝑇 = 1 𝑓 = 𝑠𝑒𝑔 𝑓 = 1 𝑇 = 𝑟𝑒𝑣 𝑠𝑒𝑔⁄ 𝑜 𝐻𝑒𝑟𝑡𝑧 (𝐻𝑧) 𝑓 = 𝑛 𝑡 = 𝑟𝑒𝑣 𝑠𝑒𝑔⁄ 𝑜 𝐻𝑒𝑟𝑡𝑧 (𝐻𝑧) 𝑎 𝑐 = 𝑉𝑡 2 𝑟 = 𝑚 𝑠2⁄ 𝑎 𝑐 = 𝜔2 . 𝑟 = 𝑚 𝑠2⁄
- 5. 𝑎 𝑐 = 𝑚.𝑣2 𝑟