Kutenderera kwemamiriro ezvinhu - matambudziko nemhinduro

1. Simba F rinoiswa patambo yakaputirwa papulley yesilinda. Torque yacho ndeye 2 N m uye nguva yekusashanda zvakanaka ndeye 1 kg m ² , chii chinonzi angular acceleration yesilinda.

Zvinozivikanwa:

Torque ( τ ) = 2 N m

Nguva yekusaita basa (I) = 1 kg m ²

Zvinodiwa: Kukurumidza kwe silinda kwekona

Solution:

Στ = I α

Στ = mambure torque, I = chinguva che inertia, α = angular kukwidza

Kukurumidza kwe silinda kwekona:

α = Στ / I = 2 / 1 = 2 rad/s ²

2. Simba F rinoiswa patambo yakaputirwa papulley yesirinda. Hukuru hwesimba i10 N, radius yesirinda i0.2 m uye nguva yekusashanda i1 kg m 2, Chii chinonzi angular acceleration yesirinda?

Zvinozivikanwa:

Simba (F) = 10 N

Nharaunda yesirinji (R) = 0.2 m

Nguva yekusaita basa (I) = 1 kg m ²

Zvinodiwa: Kukurumidza kwe silinda kwekona.

Solution:

τ = FR

τ = torque, F = simba, R = nharaunda yesirinji

Torque:

τ = FR = (1 0 N)(0.2 m) = 2 N m

Στ = I α

Στ = mambure torque, I = chinguva che inertia, α = angular kukwidza

Kukurumidza kwe silinda kwekona:

α = Στ / I = 2 / 1 = 2 rad/s ²

3. Simba F rinoiswa patambo yakaputirwa papulley yesirinda. Hukuru hwesimba i10 N, radius yesirinda i0.2 m uye huremu hwesirinda i20 kg m ^2, . Chii chinonzi angular acceleration yesirinda.

Zvinozivikanwa:

Simba (F) = 10 N

Nharaunda yesirinji (R) = 0.2 m

Huremu hwesirinda (M) = 20 kg

Zvinodiwa: Kukurumidza kwe silinda kwekona

Solution:

τ = FR = (1 0 N)(0.2 m) = 2 N m

Nguva yekusaita basa:

I = 1⁄2 MR ² = 1⁄2 (20)(0.2) ² = 1⁄2 (20)(0.04) = 0.4 kg m ²

Kukurumidza kwe silinda kwekona:

α = Στ / I = 2 / 0.4 = 5 rad/s ²

4. Chivharo che 1-kg chakarembera kubva patambo yakaputirwa papulley yesilinda. Nguva yekusashanda kwepulley i 1 kg m ² uye radius yepulley i 0.2 m. Chii chinonzi angular acceleration yepulley. Kukurumidza kunokonzerwa negiravhiti i 10 m/s ².

Zvinozivikanwa:

Nguva yekusashanda kwepulley (I) = 1 kg m ²

Huremu hwebhuroko (m) = 1 kg

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s ²

Huremu (w) = mg = (1 kg)(10 m/s ² ) = 10 kg m/s ² = 10 N

Nharaunda yepulley (R) = 0.2 m

Zvinodiwa: Kukurumidza kwekona

Solution:

Torque:

τ = FR = w R = (1 0 N) (0.2 m) = 2 N m

Nguva yekusaita basa:

I = 1 kg m ²

Kukurumidzisa kwekona:

α = Στ / I = 2 / 1 = 2 rad/s ²

5. Chivharo che 1-kg chakarembera kubva patambo yakaputirwa papulley yesilinda. Huremu hwepulley i 20 kg uye radius yepulley i 0,2 m. Chii chinonzi angular acceleration yepulley uye free fall acceleration yebhuroko. Kukurumidza kunokonzerwa negravity i 10 m/s ².

Zvinozivikanwa:

Huremu hwepulley (M) = 20 kg

Nharaunda yepulley (R) = 0,2 m

Huremu hwebhuroko (m) = 1 kg

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s ²

Huremu (w) = mg = (1 kg)(10 m/s ² ) = 10 kg m/s ² = 10 N

Zvinodiwa: kukurumidza kwekona kwepulley uye kukurumidza kwekuwa kwebhuroko.

Solution:

Torque:

τ = FR = w R = (1 0 N) (0.2 m) = 2 N m

Nguva yekusashanda kwepulley yesilinda:

I = 1⁄2 MR ² = 1⁄2 (20)(0.2) ² = (10)(0.04) = 0.4 kg m ²

Kukurumidza kwekona kwepulley:

α = Στ / I = 2 / 0.4 = 5 rad/s ²

Kukurumidza kwekuwa kwebhuroko:

a = R α = (0.2)(5) = 1 m/s ²