Answer:
1. 4800π cm
2. 37500π cm
3. 50% greater
4. 760π km or 2388 km
5. 1 turn
Step-by-step explanation:
1. S = r∅ (Note: 1 turn = 2π rad)
S = (20)(120 turns)(2π rad / 1 turn) = 4800π cm or 15,079.64 cm
2. Same formula (Note: 1 rev = 2π rad)
S = (25)(750 rev)(2π rad / 1 rev) = 37500π cm or 117,809.72 cm
3. % = [(D1 + D2) / D1] x 100%
% = [(2*10) + 10) / (2*10)] x 100%
= 1.5 therefore, 50% greater
4. Same formula sa #1:
Assume: 1 turn
S = (760/2)(2π) = 2388 km
5. for number of turns:
∅ = S/r = 2000 / 380
∅ = 5.263 rad (1 turn / 2π rad)
∅ = 0.8377 turn ≈ 1 turn
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Answers & Comments
Answer:
1. 4800π cm
2. 37500π cm
3. 50% greater
4. 760π km or 2388 km
5. 1 turn
Step-by-step explanation:
1. S = r∅ (Note: 1 turn = 2π rad)
S = (20)(120 turns)(2π rad / 1 turn) = 4800π cm or 15,079.64 cm
2. Same formula (Note: 1 rev = 2π rad)
S = (25)(750 rev)(2π rad / 1 rev) = 37500π cm or 117,809.72 cm
3. % = [(D1 + D2) / D1] x 100%
% = [(2*10) + 10) / (2*10)] x 100%
= 1.5 therefore, 50% greater
4. Same formula sa #1:
Assume: 1 turn
S = (760/2)(2π) = 2388 km
5. for number of turns:
∅ = S/r = 2000 / 380
∅ = 5.263 rad (1 turn / 2π rad)
∅ = 0.8377 turn ≈ 1 turn